Prime p₀= 52780549806369709 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 4 30 18 18 8 12 18 6 16 2 16 6 18 12 8 18 18 30 4 (?)
a_n: 0 4 34 52 70 78 90 108 114 130 132 148 154 172 184 192 210 228 258 262
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 262
derived by truncating larger tuple
Found by: stoneageman
db: batch=65, k=20, 4 30 18 18 8 12 18 6 16 2

SPT(14)	52780510013695223	0 6 30 48 56 78 138 218 278 300 308 326 350 356	-39792674486
SPT(14)	52780521093177593	0 14 66 80 86 114 144 146 176 204 210 224 276 290	-28713192116
SPT(14)	52780521107833907	0 14 36 84 110 152 164 222 234 276 302 350 372 386	-28698535802
SPT(14)	52780534510634531	0 32 38 60 110 116 122 216 222 228 278 300 306 338	-15295735178
TPT(12)	52780546574689601	0 2 90 92 120 122 126 128 150 152 180 182	-3231680108
SPT(22)	52780549806369689	0 20 24 54 72 90 98 110 128 134 150 152 168 174 192 204 212 230 248 278 282 302	-20
TPT(12)	52780550623494899	0 2 18 20 132 134 168 170 240 242 270 272	817125190
TPT(12)	52780554702937559	0 2 78 80 108 110 168 170 192 194 210 212	4896567850
SPT(14)	52780557217134493	0 10 18 36 66 76 96 118 138 148 178 196 204 214	7410764784
TPT(12)	52780564896083021	0 2 6 8 90 92 180 182 216 218 228 230	15089713312
SPT(14)	52780567377626903	0 66 86 126 140 146 150 170 174 180 194 234 254 320	17571257194
SPT(14)	52780580040873511	0 52 58 60 66 100 102 136 138 172 178 180 186 238	30234503802