Prime p₀= 492719625141744419 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 4 2 40 2 (?)
a_n: 0 2 12 14 72 74 102 104 108 110 150 152
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: 152
Found by: vinn@[CNT]
db: batch=70, k=12, 10 58 28 4 40

SPT(14)	492719577328259837	0 14 24 26 54 84 86 90 92 122 150 152 162 176	-47813484582
SPT(14)	492719579730552931	0 16 18 40 70 108 168 238 298 336 366 388 390 406	-45411191488
TPT(12)	492719611816106747	0 2 72 74 132 134 144 146 174 176 330 332	-13325637672
SPT(16)	492719615183207807	0 20 66 90 96 110 132 206 240 314 336 350 356 380 426 446	-9958536612
TPT(12)	492719615412983471	0 2 30 32 36 38 78 80 126 128 216 218	-9728760948
SPT(14)	492719616569404373	0 14 36 56 116 134 144 206 216 234 294 314 336 350	-8572340046
SPT(14)	492719633526879691	0 10 22 48 70 76 88 150 162 168 190 216 228 238	8385135272
SPT(16)	492719633855038979	0 2 60 104 162 174 198 218 294 314 338 350 408 452 510 512	8713294560
SPT(14)	492719637375606481	0 16 60 70 88 166 172 276 282 360 378 388 432 448	12233862062
TPT(12)	492719679639307661	0 2 30 32 36 38 48 50 78 80 186 188	54497563242
TPT(12)	492719688353339231	0 2 30 32 36 38 78 80 120 122 156 158	63211594812