Prime p₀= 456793798987150367 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 52 2 136 2 16 2 (?)
a_n: 0 2 12 14 30 32 84 86 222 224 240 242
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: 242
Found by: rebel9
db: batch=70, k=12, 10 16 52 136 16

SPT(14)	456793681073475797	0 6 20 24 42 86 90 116 120 164 182 186 200 206	-117913674570
SPT(14)	456793726786276543	0 28 88 100 184 210 258 280 328 354 438 450 510 538	-72200873824
SPT(14)	456793767636688687	0 22 36 60 84 100 106 210 216 232 256 280 294 316	-31350461680
SPT(14)	456793770044745739	0 58 60 82 88 198 240 322 364 474 480 502 504 562	-28942404628
SPT(14)	456793780443963923	0 30 56 120 176 206 218 276 288 318 374 438 464 494	-18543186444
SPT(14)	456793794061799333	0 90 96 104 150 188 198 206 216 254 300 308 314 404	-4925351034
SPT(14)	456793801900418869	0 24 54 90 94 102 124 138 160 168 172 208 238 262	2913268502
SPT(14)	456793831392378457	0 4 6 24 84 94 96 124 126 136 196 214 216 220	32405228090
SPT(16)	456793844050284287	0 26 44 56 72 86 110 114 122 126 150 164 180 192 210 236	45063133920
SPT(14)	456793888122234571	0 58 60 100 112 172 210 238 276 336 348 388 390 448	89135084204
SPT(14)	456793924764798617	0 12 140 150 152 182 266 276 360 390 392 402 530 542	125777648250