Prime p₀= 2054338354756466027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Dingo
db: batch=80, k=10, 2 10 2 28 2

STPT(12)	2054336799984010247	0 2 12 14 54 56 60 62 102 104 114 116	-1554772455780
STPT(10)	2054336895654272231	0 2 30 32 60 62 90 92 120 122	-1459102193796
SPT(16)	2054336963506406861	0 86 120 126 162 170 206 228 230 252 288 296 332 338 372 458	-1391250059166
SPT(16)	2054337009005734793	0 6 18 36 68 86 140 156 158 174 228 246 278 296 308 314	-1345750731234
SPT(16)	2054337852476039479	0 60 94 100 108 130 150 174 178 202 222 244 252 258 292 352	-502280426548
SPT(16)	2054337968191370269	0 24 58 78 84 102 150 154 228 232 280 298 304 324 358 382	-386565095758
SPT(16)	2054338372698600449	0 2 44 62 68 74 90 110 132 152 168 174 180 198 240 242	17942134422
SPT(16)	2054338466388778387	0 6 30 76 90 96 114 124 132 142 160 166 180 226 250 256	111632312360
SPT(16)	2054338573675230847	0 34 42 72 76 90 124 132 154 162 196 210 214 244 252 286	218918764820
STPT(10)	2054339407784137247	0 2 54 56 72 74 90 92 144 146	1053027671220
SPT(16)	2054339534883227609	0 8 50 150 182 218 222 248 264 290 294 330 362 462 504 512	1180126761582