Prime p₀= 383862804985023041 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 88 2 58 2 28 2 (?)
a_n: 0 2 30 32 60 62 150 152 210 212 240 242
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: 242
Found by: Cruncher Pete
db: batch=70, k=12, 28 28 88 58 28

SPT(14)	383862716022843209	0 14 80 92 140 204 210 242 248 312 360 372 438 452	-88962179832
SPT(20)	383862718680284567	0 6 14 42 110 114 140 152 182 192 194 204 234 246 272 276 344 372 380 386	-86304738474
SPT(14)	383862730618304999	0 12 90 102 132 140 182 312 354 362 392 404 482 494	-74366718042
SPT(14)	383862738408713303	0 20 90 98 110 158 174 194 210 258 270 278 348 368	-66576309738
SPT(14)	383862779424874559	0 8 32 42 54 60 102 140 182 188 200 210 234 242	-25560148482
SPT(14)	383862781473151307	0 6 12 90 110 144 152 174 182 216 236 314 320 326	-23511871734
TPT(12)	383862825924741377	0 2 42 44 60 62 84 86 132 134 144 146	20939718336
SPT(14)	383862827849813671	0 28 60 100 108 130 142 156 168 190 198 238 270 298	22864790630
SPT(14)	383862850523250899	0 38 80 98 104 128 140 198 210 234 240 258 300 338	45538227858
SPT(14)	383862852534038551	0 46 48 66 88 90 102 136 148 150 172 190 192 238	47549015510
SPT(14)	383862855179975837	0 14 66 80 162 194 206 240 252 284 366 380 432 446	50194952796