Prime p₀= 463068703658607281 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 88 2 40 2 58 2 196 2 (?)
a_n: 0 2 6 8 96 98 138 140 198 200 396 398
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: 398
Found by: vinn@[CNT]
db: batch=70, k=12, 4 88 40 58 196

SPT(14)	463068633637920943	0 6 24 34 84 100 136 198 234 250 300 310 328 334	-70020686338
SPT(14)	463068659902724413	0 6 10 90 108 126 150 184 208 226 244 324 328 334	-43755882868
TPT(12)	463068661177195859	0 2 30 32 60 62 78 80 90 92 102 104	-42481411422
STPT(10)	463068668342958647	0 2 30 32 72 74 114 116 144 146	-35315648634
SPT(14)	463068672889713413	0 8 20 48 138 144 180 314 350 356 446 474 486 494	-30768893868
SPT(16)	463068688612903843	0 10 18 30 60 78 94 120 178 204 220 238 268 280 288 298	-15045703438
SPT(14)	463068726517752281	0 26 50 68 72 86 90 128 132 146 150 168 192 218	22859145000
SPT(14)	463068734763929009	0 42 50 102 104 144 170 174 200 240 242 294 302 344	31105321728
SPT(14)	463068746021947063	0 6 40 78 118 150 196 270 316 348 388 426 460 466	42363339782
STPT(10)	463068760068712937	0 2 42 44 72 74 102 104 144 146	56410105656
TPT(14)	463068772489864169	0 2 12 14 30 32 72 74 198 200 210 212 222 224	68831256888