Prime p₀= 1028110222840387871 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 124 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 186 188 216 218 246 248
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: 248
Found by: Theadalus
db: batch=76, k=12, 2 28 2 28 2 124

SPT(16)	1028109404785774307	0 50 62 66 96 126 140 150 152 162 176 206 236 240 252 302	-818054613564
STPT(10)	1028109604873901447	0 2 30 32 102 104 174 176 204 206	-617966486424
SPT(16)	1028109915687684097	0 10 24 30 52 144 156 160 186 190 202 294 316 322 336 346	-307152703774
SPT(16)	1028110038608739301	0 10 18 28 46 66 76 78 118 120 130 150 168 178 186 196	-184231648570
STPT(10)	1028110160449170341	0 2 6 8 48 50 90 92 96 98	-62391217530
SPT(16)	1028110169844551641	0 46 58 112 168 238 240 262 396 418 420 490 546 600 612 658	-52995836230
SPT(16)	1028110597301366099	0 20 24 44 80 108 114 164 174 224 230 258 294 314 318 338	374460978228
SPT(16)	1028110822362527987	0 26 32 44 72 102 114 146 150 182 194 224 252 264 270 296	599522140116
STPT(10)	1028110964082059951	0 2 36 38 78 80 120 122 156 158	741241672080
SPT(16)	1028111145566630897	0 6 30 32 62 90 134 182 204 252 296 324 354 356 380 386	922726243026
SPT(16)	1028111231511160837	0 6 34 36 40 46 120 124 126 130 204 210 214 216 244 250	1008670772966