Prime p₀= 1019637163775874671 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: stoneageman
db: batch=76, k=12, 2 28 2 28 2 34

SPT(16)	1019634917322195221	0 6 48 60 146 152 176 182 186 192 216 222 308 320 362 368	-2246453679450
STPT(10)	1019635115639785121	0 2 120 122 138 140 156 158 276 278	-2048136089550
STPT(10)	1019635787839100951	0 2 120 122 138 140 156 158 276 278	-1375936773720
SPT(16)	1019636764822635889	0 30 150 168 180 220 234 294 394 454 468 508 520 538 658 688	-398953238782
STPT(12)	1019636853099270059	0 2 12 14 42 44 78 80 108 110 120 122	-310676604612
SPT(16)	1019637122525264027	0 12 14 32 36 66 74 80 156 162 170 200 204 222 224 236	-41250610644
STPT(10)	1019637168919765601	0 2 6 8 18 20 30 32 36 38	5143890930
SPT(20)	1019637186376810873	0 4 28 70 180 204 214 256 258 270 274 286 288 330 340 364 474 516 540 544	22600936202
SPT(18)	1019637285629638483	0 30 40 54 66 96 108 114 136 168 190 196 208 238 250 264 274 304	121853763812
SPT(16)	1019637538936962427	0 10 42 82 166 214 256 270 286 300 342 390 474 514 546 556	375161087756
SPT(16)	1019637624869828089	0 10 12 114 124 138 142 154 168 180 184 198 208 310 312 322	461093953418