Prime p₀= 2056537347793235537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: gemini8
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2056536068658625943	0 6 26 44 54 156 198 224 270 296 338 440 450 468 488 494	-1279134609594
SPT(16)	2056536425807780393	0 14 24 54 60 116 156 168 236 248 288 344 350 380 390 404	-921985455144
STPT(12)	2056536545588219789	0 2 12 14 42 44 48 50 78 80 90 92	-802205015748
SPT(16)	2056536694270577657	0 12 50 80 110 182 194 204 290 300 312 384 414 444 482 494	-653522657880
SPT(16)	2056536740002431847	0 4 70 94 102 154 156 166 240 250 252 304 312 336 402 406	-607790803690
SPT(16)	2056536964684653469	0 12 30 54 82 88 100 120 232 252 264 270 298 322 340 352	-383108582068
SPT(16)	2056537415813326951	0 10 52 66 112 126 186 190 192 196 256 270 316 330 372 382	68020091414
STPT(10)	2056537528602140957	0 2 90 92 102 104 114 116 204 206	180808905420
STPT(10)	2056537773587851199	0 2 48 50 60 62 72 74 120 122	425794615662
TPT(14)	2056537831860574757	0 2 60 62 90 92 102 104 114 116 144 146 204 206	484067339220
STPT(14)	2056537831860574757	0 2 60 62 90 92 102 104 114 116 144 146 204 206	484067339220