Prime p₀= 2874692316301172579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: suriv
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2874689397554762939	0 8 12 50 54 90 98 104 258 264 272 308 312 350 354 362	-2918746409640
SPT(16)	2874691046077571177	0 20 62 90 120 144 164 182 234 252 272 296 326 354 396 416	-1270223601402
STPT(10)	2874691226661960911	0 2 6 8 18 20 30 32 36 38	-1089639211668
TPT(14)	2874691560579124199	0 2 18 20 90 92 102 104 210 212 240 242 342 344	-755722048380
TPT(14)	2874691795852781171	0 2 120 122 150 152 168 170 246 248 288 290 330 332	-520448391408
SPT(16)	2874692167320679703	0 20 30 44 96 110 114 144 170 200 204 218 270 284 294 314	-148980492876
SPT(16)	2874692433032745529	0 42 70 94 114 120 138 142 150 154 172 178 198 222 250 292	116731572950
SPT(16)	2874692526019119373	0 24 28 100 120 126 138 148 156 166 178 184 204 276 280 304	209717946794
STPT(10)	2874692900389885577	0 2 30 32 60 62 90 92 120 122	584088712998
TPT(14)	2874693104690014631	0 2 6 8 36 38 60 62 156 158 168 170 216 218	788388842052
STPT(10)	2874693198961489067	0 2 30 32 42 44 54 56 84 86	882660316488