Prime p₀= 144303439519693427 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 58 2 64 2 58 2 40 2 (?)
a_n: 0 2 24 26 84 86 150 152 210 212 252 254
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: 254
Found by: emoga
db: batch=67, k=12, 22 58 64 58 40

TPT(12)	144303399514520399	0 2 18 20 30 32 72 74 108 110 150 152	-40005173028
SPT(16)	144303403689790823	0 8 44 80 128 134 140 164 210 234 240 246 294 330 366 374	-35829902604
SPT(14)	144303415127783603	0 20 44 68 150 158 206 258 306 314 396 420 444 464	-24391909824
SPT(14)	144303421345478701	0 42 48 78 106 126 130 168 172 192 220 250 256 298	-18174214726
SPT(14)	144303431697815693	0 6 8 14 20 50 78 86 114 144 150 156 158 164	-7821877734
STPT(10)	144303435439152929	0 2 18 20 60 62 102 104 120 122	-4080540498
STPT(10)	144303441200123057	0 2 30 32 72 74 114 116 144 146	1680429630
SPT(14)	144303444075673061	0 12 36 60 62 72 86 102 116 126 128 152 176 188	4555979634
SPT(14)	144303451037083733	0 30 36 98 108 150 198 266 314 356 366 428 434 464	11517390306
SPT(14)	144303455646899251	0 10 30 36 76 160 162 196 198 282 322 328 348 358	16127205824
SPT(14)	144303475720992383	0 8 14 134 144 158 168 200 210 224 234 354 360 368	36201298956