Prime p₀= 2114988408254956649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 76 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 120 122 132 134 162 164
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: 164
Found by: matsu_pl
db: batch=80, k=12, 2 28 2 10 2 76

STPT(10)	2114987535277881359	0 2 18 20 30 32 42 44 60 62	-872977075290
STPT(10)	2114987891175551387	0 2 30 32 72 74 114 116 144 146	-517079405262
SPT(16)	2114988075264042109	0 18 82 88 148 172 234 264 328 358 420 444 504 510 574 592	-332990914540
SPT(16)	2114988090993515827	0 34 42 52 64 84 96 112 144 160 172 192 204 214 222 256	-317261440822
TPT(14)	2114988163747899329	0 2 42 44 108 110 138 140 168 170 222 224 360 362	-244507057320
STPT(10)	2114988325580072561	0 2 90 92 150 152 210 212 300 302	-82674884088
SPT(16)	2114988713465946697	0 4 10 54 82 112 130 184 192 246 264 294 322 366 372 376	305210990048
STPT(10)	2114989719071420687	0 2 12 14 42 44 72 74 84 86	1310816464038
STPT(10)	2114989916746196591	0 2 6 8 48 50 90 92 96 98	1508491239942
SPT(16)	2114990385012393587	0 2 12 14 56 66 86 90 206 210 230 240 282 284 294 296	1976757436938
TPT(14)	2114990933148767939	0 2 18 20 42 44 72 74 102 104 180 182 210 212	2524893811290