Prime p₀= 1258198183624603049 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 130 2 28 2 16 2 28 2 130 2 (?)
a_n: 0 2 132 134 162 164 180 182 210 212 342 344
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: 344
Found by: mikey
db: batch=77, k=12, 2 130 2 28 2 16

TPT(14)	1258197335422418507	0 2 30 32 72 74 114 116 174 176 210 212 264 266	-848202184542
STPT(10)	1258197418747627607	0 2 60 62 72 74 84 86 144 146	-764876975442
SPT(16)	1258197783163867451	0 6 42 72 90 170 180 182 246 248 258 338 356 386 422 428	-400460735598
STPT(10)	1258198026363599777	0 2 30 32 42 44 54 56 84 86	-157261003272
SPT(16)	1258198032757963613	0 50 56 66 68 156 170 198 248 276 290 378 380 390 396 446	-150866639436
SPT(16)	1258198159665267167	0 2 14 32 54 102 110 114 140 144 152 200 222 240 252 254	-23959335882
STPT(10)	1258198932745733159	0 2 18 20 30 32 42 44 60 62	749121130110
SPT(16)	1258198992474273569	0 14 30 54 90 98 150 152 210 212 264 272 308 332 348 362	808849670520
SPT(16)	1258199103430986583	0 10 16 54 66 70 84 100 150 166 180 184 196 234 240 250	919806383534
TPT(14)	1258199338591652579	0 2 12 14 42 44 108 110 150 152 168 170 180 182	1154967049530
SPT(16)	1258199437658543417	0 44 72 92 120 162 176 186 230 240 254 296 324 344 372 416	1254033940368