Prime p₀= 94323371165853059 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 64 2 10 2 40 2 28 2 (?)
a_n: 0 2 72 74 138 140 150 152 192 194 222 224
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: 224
Found by: Vit Kliber
db: batch=67, k=12, 70 64 10 40 28

TPT(12)	94323282643871579	0 2 48 50 72 74 102 104 138 140 210 212	-88521981480
SPT(14)	94323300242798213	0 26 60 80 126 144 146 234 236 254 300 320 354 380	-70923054846
SPT(14)	94323301019121269	0 60 62 78 84 90 128 144 182 188 194 210 212 272	-70146731790
SPT(14)	94323317343180743	0 30 54 110 174 206 230 234 258 290 354 410 434 464	-53822672316
SPT(14)	94323318378862919	0 42 68 90 92 132 150 152 170 210 212 234 260 302	-52786990140
SPT(14)	94323326219717713	0 16 40 54 96 166 186 238 258 328 370 384 408 424	-44946135346
SPT(16)	94323386866397347	0 22 40 94 112 114 142 150 184 192 220 222 240 294 312 334	15700544288
SPT(14)	94323396801150401	0 8 26 78 120 128 132 176 180 188 230 282 300 308	25635297342
SPT(14)	94323402100477547	0 6 32 44 60 72 86 90 104 116 132 144 170 176	30934624488
SPT(14)	94323403047958681	0 6 18 22 70 76 88 90 102 108 156 160 172 178	31882105622
SPT(14)	94323422151132437	0 42 74 90 102 110 152 174 216 224 236 252 284 326	50985279378