Prime p₀= 2857769584195085969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: JayPi
db: batch=82, k=12, 2 10 2 76 2 40

SPT(16)	2857766900936630191	0 12 18 22 60 112 138 148 150 160 186 238 276 280 286 298	-2683258455778
STPT(10)	2857768176036654887	0 2 30 32 42 44 54 56 84 86	-1408158431082
SPT(16)	2857768242339627499	0 10 60 114 130 138 148 198 220 270 280 288 304 358 408 418	-1341855458470
STPT(10)	2857768374204098891	0 2 6 8 48 50 90 92 96 98	-1209990987078
STPT(10)	2857769006757236321	0 2 36 38 78 80 120 122 156 158	-577437849648
STPT(10)	2857769547650611337	0 2 84 86 102 104 120 122 204 206	-36544474632
STPT(10)	2857769604403911227	0 2 30 32 60 62 90 92 120 122	20208825258
SPT(16)	2857770203420289379	0 10 82 102 112 178 192 204 238 250 264 330 340 360 432 442	619225203410
STPT(10)	2857770444186252347	0 2 30 32 42 44 54 56 84 86	859991166378
SPT(16)	2857770597564336869	0 8 24 42 48 50 62 150 182 270 282 284 290 308 324 332	1013369250900
SPT(16)	2857770793253968859	0 18 38 78 92 98 114 120 122 128 144 150 164 204 224 242	1209058882890