Prime p₀= 789046833648567233 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 26 34 20 30 4 12 14 12 4 30 20 34 26 24 (?)
a_n: 0 24 50 84 104 134 138 150 164 176 180 210 230 264 290 314
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 314
Found by: [SG]FX
db: batch=73, k=16, 24 26 34 20 30 4 12 14

SPT(16)	789046351406060203	0 24 36 40 60 66 78 84 190 196 208 214 234 238 250 274	-482242507030
SPT(16)	789046614457492997	0 6 14 20 30 60 72 84 92 104 116 146 156 162 170 176	-219191074236
SPT(16)	789046644939864029	0 14 42 50 60 78 98 110 132 144 164 182 192 200 228 242	-188708703204
STPT(10)	789046657093985177	0 2 30 32 42 44 54 56 84 86	-176554582056
STPT(10)	789046664690156567	0 2 60 62 102 104 144 146 204 206	-168958410666
TPT(14)	789046825696067429	0 2 78 80 138 140 162 164 168 170 240 242 252 254	-7952499804
STPT(10)	789047150761285847	0 2 30 32 72 74 114 116 144 146	317112718614
SPT(16)	789047176134309707	0 26 66 84 140 150 174 236 270 332 356 366 422 440 480 506	342485742474
TPT(14)	789047391844506101	0 2 30 32 126 128 156 158 168 170 180 182 270 272	558195938868
STPT(12)	789047473988494949	0 2 18 20 42 44 48 50 72 74 90 92	640339927716
SPT(16)	789047619723478109	0 2 8 38 102 144 150 164 198 212 218 260 324 354 360 362	786074910876