Prime p₀= 999121585282104437 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 82 2 28 2 34 2 28 2 82 2 (?)
a_n: 0 2 84 86 114 116 150 152 180 182 264 266
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: 266
Found by: Theadalus
db: batch=76, k=12, 2 82 2 28 2 34

STPT(10)	999120994510439789	0 2 18 20 30 32 42 44 60 62	-590771664648
TPT(14)	999121191219795407	0 2 12 14 150 152 192 194 234 236 294 296 360 362	-394062309030
STPT(10)	999121191289015967	0 2 42 44 72 74 102 104 144 146	-393993088470
TPT(14)	999121292785295759	0 2 72 74 162 164 210 212 300 302 420 422 492 494	-292496808678
SPT(16)	999121442748438703	0 24 66 70 94 148 150 238 246 334 336 390 414 418 460 484	-142533665734
SPT(16)	999121496665871147	0 2 30 60 90 104 144 150 266 272 312 326 356 386 414 416	-88616233290
SPT(16)	999122192957047561	0 6 10 28 48 108 136 150 166 180 208 268 288 306 310 316	607674943124
SPT(16)	999122312834974463	0 6 50 108 120 126 128 146 150 168 170 176 188 246 290 296	727552870026
SPT(16)	999122376126242707	0 10 100 106 114 120 124 136 180 192 196 202 210 216 306 316	790844138270
SPT(16)	999122994884833459	0 28 34 40 54 78 102 132 160 190 214 238 252 258 264 292	1409602729022
SPT(16)	999123210957550649	0 20 32 38 50 78 84 98 144 158 164 192 204 210 222 242	1625675446212