Prime p₀= 2960966796331805123 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 10 60 2 12 28 2 196 2 28 12 2 60 10 56 (?)
a_n: 0 56 66 126 128 140 168 170 366 368 396 408 410 470 480 536
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: 536
Found by: Landjunge
db: batch=82, k=16, 56 10 60 2 12 28 2 196

SPT(16)	2960965559456164321	0 10 22 28 46 48 66 90 208 232 250 252 270 276 288 298	-1236875640802
STPT(10)	2960965649956778249	0 2 42 44 60 62 78 80 120 122	-1146375026874
SPT(16)	2960965781864121851	0 2 8 18 36 56 68 102 176 210 222 242 260 270 276 278	-1014467683272
SPT(16)	2960965886362192889	0 20 24 38 78 102 108 120 122 134 140 164 204 218 222 242	-909969612234
SPT(16)	2960965955455821251	0 2 30 50 72 92 110 120 158 168 186 206 228 248 276 278	-840875983872
SPT(16)	2960966450380603529	0 20 30 68 78 98 128 134 138 144 174 194 204 242 252 272	-345951201594
SPT(16)	2960966821705994993	0 8 36 48 50 56 114 126 128 140 198 204 206 218 246 254	25374189870
TPT(14)	2960967122969130551	0 2 210 212 300 302 336 338 378 380 420 422 456 458	326637325428
STPT(10)	2960967122969130851	0 2 36 38 78 80 120 122 156 158	326637325728
STPT(10)	2960967187679343497	0 2 54 56 72 74 90 92 144 146	391347538374
SPT(16)	2960967699260361547	0 4 22 30 40 42 60 84 100 124 142 144 154 162 180 184	902928556424