Prime p₀= 2313015086978864417 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 82 2 4 2 22 2 4 2 82 2 (?)
a_n: 0 2 84 86 90 92 114 116 120 122 204 206
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: 206
Found by: WTBroughton
db: batch=81, k=12, 2 82 2 4 2 22

SPT(16)	2313014376597811877	0 12 50 92 102 104 132 134 180 182 210 212 222 264 302 314	-710381052540
STPT(10)	2313014396949215369	0 2 48 50 90 92 132 134 180 182	-690029649048
SPT(16)	2313014580847603873	0 28 36 84 144 168 186 216 268 298 316 340 400 448 456 484	-506131260544
SPT(16)	2313014795259139921	0 6 70 78 96 136 166 196 300 330 360 400 418 426 490 496	-291719724496
STPT(10)	2313015031058085371	0 2 78 80 108 110 138 140 216 218	-55920779046
STPT(10)	2313015044993914577	0 2 30 32 42 44 54 56 84 86	-41984949840
TPT(14)	2313015119357336981	0 2 30 32 66 68 96 98 168 170 210 212 306 308	32378472564
SPT(16)	2313015252398310049	0 24 78 94 102 108 148 150 232 234 274 280 288 304 358 382	165419445632
STPT(10)	2313015336298540397	0 2 30 32 42 44 54 56 84 86	249319675980
STPT(10)	2313016754273574257	0 2 30 32 42 44 54 56 84 86	1667294709840
TPT(14)	2313016798368423647	0 2 24 26 42 44 84 86 90 92 192 194 210 212	1711389559230