Prime p₀= 1186461359263289489 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 22 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 120 122
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: 122
Found by: Theadalus
db: batch=77, k=12, 2 28 2 16 2 22

SPT(16)	1186460345793079991	0 6 50 62 86 90 96 132 140 176 182 186 210 222 266 272	-1013470209498
STPT(10)	1186460357515316699	0 2 12 14 30 32 48 50 60 62	-1001747972790
SPT(16)	1186460491874621669	0 38 44 84 104 110 180 200 222 242 312 318 338 378 384 422	-867388667820
SPT(16)	1186460712400979843	0 6 60 80 120 146 176 188 246 258 288 314 354 374 428 434	-646862309646
STPT(10)	1186461212319704777	0 2 30 32 42 44 54 56 84 86	-146943584712
SPT(16)	1186461305354397029	0 2 14 24 38 42 48 68 84 104 110 114 128 138 150 152	-53908892460
STPT(10)	1186461520609034669	0 2 18 20 30 32 42 44 60 62	161345745180
STPT(10)	1186461527098348619	0 2 18 20 30 32 42 44 60 62	167835059130
SPT(16)	1186461558121482767	0 26 36 42 50 56 62 66 260 264 270 276 284 290 300 326	198858193278
SPT(16)	1186461678251994829	0 18 28 54 112 154 172 174 178 180 198 240 298 324 334 352	318988705340
SPT(16)	1186461691886361287	0 14 42 90 102 104 144 152 174 182 222 224 236 284 312 326	332623071798