Prime p₀= 354248539588789409 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 52 2 28 2 76 2 40 2 (?)
a_n: 0 2 48 50 102 104 132 134 210 212 252 254
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: [SETI.USA]Tank_Master
db: batch=70, k=12, 46 52 28 76 40

SPT(14)	354248356938034709	0 20 50 54 90 128 170 222 264 302 338 342 372 392	-182650754700
STPT(10)	354248392432145537	0 2 30 32 42 44 54 56 84 86	-147156643872
SPT(14)	354248413805470307	0 12 32 50 54 114 144 170 200 260 264 282 302 314	-125783319102
SPT(14)	354248460730511363	0 8 14 48 78 80 90 164 174 176 206 240 246 254	-78858278046
SPT(14)	354248504071715783	0 24 90 168 188 234 260 264 290 336 356 434 500 524	-35517073626
SPT(14)	354248511337449551	0 12 60 62 128 162 242 408 488 522 588 590 638 650	-28251339858
TPT(12)	354248552658869381	0 2 6 8 36 38 60 62 78 80 168 170	13070079972
SPT(14)	354248580460749911	0 6 48 146 156 198 222 356 380 422 432 530 572 578	40871960502
SPT(14)	354248581935798091	0 6 40 42 90 100 112 120 132 142 190 192 226 232	42347008682
SPT(14)	354248582806910527	0 10 16 36 52 60 120 136 196 204 220 240 246 256	43218121118
SPT(14)	354248587470192229	0 34 72 112 114 150 202 240 292 328 330 370 408 442	47881402820