Prime p₀= 2125083465426797879 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 10 2 76 2 10 2 76 2 (?)
a_n: 0 2 78 80 90 92 168 170 180 182 258 260
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 260
Found by: Landjunge
db: batch=80, k=12, 2 76 2 10 2 76

SPT(16)	2125082361141716759	0 14 38 54 60 90 102 200 222 320 332 362 368 384 408 422	-1104285081120
STPT(10)	2125082525232535049	0 2 18 20 30 32 42 44 60 62	-940194262830
STPT(10)	2125082802840255677	0 2 12 14 42 44 72 74 84 86	-662586542202
STPT(10)	2125083360203195009	0 2 48 50 60 62 72 74 120 122	-105223602870
SPT(16)	2125083387155672081	0 8 20 26 42 48 56 80 108 132 140 146 162 168 180 188	-78271125798
SPT(16)	2125083400824940397	0 6 30 44 72 74 86 174 182 270 282 284 312 326 350 356	-64601857482
STPT(10)	2125083689583495461	0 2 6 8 18 20 30 32 36 38	224156697582
SPT(16)	2125083719251362689	0 42 68 72 80 110 134 164 198 228 252 282 290 294 320 362	253824564810
SPT(16)	2125084181338068131	0 2 20 30 38 42 62 80 150 168 188 192 200 210 228 230	715911270252
STPT(10)	2125084337226658079	0 2 18 20 30 32 42 44 60 62	871799860200
SPT(16)	2125084874241159289	0 34 118 130 160 180 198 258 280 340 358 378 408 420 504 538	1408814361410