Prime p₀= 36565359988130821 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 26 4 66 98 30 22 30 98 66 4 26 16 (?)
a_n: 0 16 42 46 112 210 240 262 292 390 456 460 486 502
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 502
Found by: ChelseaOilman
db: batch=65, k=14, 16 26 4 66 98 30 22

SPT(14)	36565337153255747	0 2 42 44 50 62 84 92 114 126 132 134 174 176	-22834875074
SPT(14)	36565341823121191	0 42 66 136 166 198 202 216 220 252 282 352 376 418	-18165009630
TPT(12)	36565345639438541	0 2 30 32 48 50 90 92 120 122 228 230	-14348692280
SPT(14)	36565345662455383	0 28 48 60 78 88 90 118 120 130 148 160 180 208	-14325675438
SPT(14)	36565347715671629	0 38 50 92 114 134 152 210 228 248 270 312 324 362	-12272459192
SPT(14)	36565348890090719	0 14 24 32 54 72 80 102 110 128 150 158 168 182	-11098040102
SPT(14)	36565360120992613	0 16 18 28 70 100 106 108 114 144 186 196 198 214	132861792
SPT(16)	36565366594330649	0 32 38 78 80 84 98 110 132 144 158 162 164 204 210 242	6606199828
SPT(14)	36565373764954457	0 36 66 80 86 96 114 146 164 174 180 194 224 260	13776823636
SPT(14)	36565385033183687	0 6 20 30 32 36 102 104 170 174 176 186 200 206	25045052866
SPT(14)	36565393414308631	0 10 12 28 60 66 70 78 82 88 120 136 138 148	33426177810