Prime p₀= 578335126705124489 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 172 2 76 2 (?)
a_n: 0 2 30 32 72 74 108 110 282 284 360 362
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: 362
Found by: marsinph
db: batch=71, k=12, 28 40 34 172 76

SPT(14)	578335078180772543	0 8 24 54 60 68 134 144 210 218 224 254 270 278	-48524351946
SPT(16)	578335092033147391	0 90 112 148 210 222 250 286 342 378 406 418 480 516 538 628	-34671977098
SPT(16)	578335093616248201	0 16 78 106 126 148 150 330 358 538 540 562 582 610 672 688	-33088876288
SPT(14)	578335098465060407	0 56 72 80 86 120 210 212 302 336 342 350 366 422	-28240064082
SPT(14)	578335118552230807	0 22 66 96 106 120 124 132 136 150 160 190 234 256	-8152893682
TPT(12)	578335125459666719	0 2 48 50 72 74 222 224 240 242 312 314	-1245457770
SPT(14)	578335148798081921	0 30 32 38 42 110 138 212 240 308 312 318 320 350	22092957432
TPT(12)	578335149724521401	0 2 168 170 186 188 210 212 246 248 258 260	23019396912
SPT(14)	578335166454348929	0 20 48 72 80 92 98 114 120 132 140 164 192 212	39749224440
SPT(14)	578335176695559131	0 2 8 18 36 56 78 80 102 122 140 150 156 158	49990434642
SPT(14)	578335180135279907	0 6 20 42 86 96 116 126 146 156 200 222 236 242	53430155418