Prime p₀= 1016696895529752119 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: stoneageman
db: batch=76, k=12, 2 16 2 22 2 4

STPT(10)	1016695303528245161	0 2 6 8 18 20 30 32 36 38	-1592001506958
SPT(16)	1016695305197476213	0 36 66 70 88 124 144 154 180 190 210 246 264 268 298 334	-1590332275906
SPT(16)	1016695683180839789	0 2 12 18 24 30 50 72 80 102 122 128 134 140 150 152	-1212348912330
SPT(16)	1016695703377926779	0 42 48 54 60 78 98 114 158 174 194 212 218 224 230 272	-1192151825340
SPT(16)	1016695705812007189	0 24 48 100 150 234 238 244 258 264 268 352 402 454 478 502	-1189717744930
SPT(16)	1016695715598772999	0 10 12 40 58 168 210 234 298 322 364 474 492 520 522 532	-1179930979120
STPT(10)	1016697191422443257	0 2 24 26 42 44 60 62 84 86	295892691138
STPT(10)	1016697445270700507	0 2 30 32 42 44 54 56 84 86	549740948388
STPT(10)	1016697863017341707	0 2 42 44 72 74 102 104 144 146	967487589588
STPT(10)	1016697991042973807	0 2 12 14 42 44 72 74 84 86	1095513221688
TPT(14)	1016698044651936209	0 2 78 80 90 92 132 134 162 164 168 170 180 182	1149122184090