Prime p₀= 138082866748151291 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 28 2 28 2 22 2 124 2 (?)
a_n: 0 2 96 98 126 128 156 158 180 182 306 308
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: 308
Found by: [SG] blAckmAmbA
db: batch=67, k=12, 94 28 28 22 124

SPT(16)	138082818161211031	0 6 10 66 70 78 138 148 180 190 250 258 262 318 322 328	-48586940260
SPT(14)	138082829473465693	0 18 36 48 76 88 108 148 168 180 208 220 238 256	-37274685598
SPT(14)	138082836579043229	0 18 30 44 74 110 150 188 228 264 294 308 320 338	-30169108062
TPT(12)	138082842030909287	0 2 42 44 72 74 180 182 210 212 222 224	-24717242004
SPT(14)	138082854401769379	0 12 34 58 102 154 190 222 258 310 354 378 400 412	-12346381912
SPT(14)	138082856941757659	0 10 24 112 114 130 144 148 162 178 180 268 282 292	-9806393632
SPT(14)	138082868764197451	0 28 58 76 136 156 162 196 202 222 282 300 330 358	2016046160
SPT(14)	138082943499871817	0 12 14 20 24 66 80 126 140 182 186 192 194 206	76751720526
SPT(14)	138082950576162607	0 4 30 36 42 64 82 144 162 184 190 196 222 226	83828011316
SPT(16)	138082962782630071	0 12 16 42 78 96 100 118 120 138 142 160 196 222 226 238	96034478780
SPT(14)	138082968969682859	0 84 90 114 122 132 140 162 170 180 188 212 218 302	102221531568