Prime p₀= 2690950981584193619 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: biodoc
db: batch=82, k=12, 2 28 2 10 2 46

SPT(16)	2690950008971561791	0 16 42 72 100 178 180 202 216 238 240 318 346 376 402 418	-972612631828
SPT(16)	2690950322097531829	0 10 54 90 112 132 208 234 238 264 340 360 382 418 462 472	-659486661790
STPT(10)	2690950445744891381	0 2 6 8 18 20 30 32 36 38	-535839302238
STPT(10)	2690950733622044207	0 2 30 32 72 74 114 116 144 146	-247962149412
SPT(16)	2690950878831368627	0 12 24 60 62 104 110 144 182 216 222 264 266 302 314 326	-102752824992
TPT(14)	2690950967113007087	0 2 60 62 192 194 210 212 222 224 234 236 240 242	-14471186532
SPT(16)	2690951378310153467	0 36 66 92 104 122 132 164 192 224 234 252 264 290 320 356	396725959848
STPT(10)	2690951422836826139	0 2 48 50 90 92 132 134 180 182	441252632520
STPT(10)	2690951505999616511	0 2 36 38 78 80 120 122 156 158	524415422892
STPT(10)	2690952034252259819	0 2 18 20 30 32 42 44 60 62	1052668066200
SPT(16)	2690952944420860727	0 62 86 116 126 150 200 216 350 366 416 440 450 480 504 566	1962836667108