Prime p₀= 2123555083117448083 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 12 6 10 110 4 12 74 12 4 110 10 6 12 36 (?)
a_n: 0 36 48 54 64 174 178 190 264 276 280 390 400 406 418 454
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: 454
Found by: Landjunge
db: batch=80, k=16, 36 12 6 10 110 4 12 74

SPT(16)	2123552419982665171	0 16 30 40 78 96 108 148 168 208 220 238 276 286 300 316	-2663134782912
SPT(16)	2123553460079824159	0 24 34 70 88 118 132 160 162 190 204 234 252 288 298 322	-1623037623924
STPT(10)	2123553846793158737	0 2 60 62 72 74 84 86 144 146	-1236324289346
STPT(10)	2123554154522812181	0 2 30 32 78 80 126 128 156 158	-928594635902
SPT(16)	2123554480894474027	0 82 96 136 142 162 180 186 190 196 214 234 240 280 294 376	-602222974056
SPT(16)	2123554640883053207	0 60 102 146 200 242 284 294 362 372 414 456 510 554 596 656	-442234394876
TPT(14)	2123555601801721721	0 2 6 8 60 62 96 98 138 140 168 170 186 188	518684273638
SPT(16)	2123556091849636537	0 46 52 60 66 90 126 130 132 136 172 196 202 210 216 262	1008732188454
STPT(12)	2123556658849947617	0 2 30 32 90 92 114 116 174 176 204 206	1575732499534
SPT(16)	2123556673091480699	0 8 14 18 24 44 78 102 140 164 198 218 224 228 234 242	1589974032616
STPT(10)	2123556725920704407	0 2 54 56 132 134 210 212 264 266	1642803256324