Prime p₀= 559090984474182239 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 28 2 64 2 88 2 22 2 (?)
a_n: 0 2 102 104 132 134 198 200 288 290 312 314
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: 314
Found by: [AF>Libristes] Dudumomo
db: batch=71, k=12, 100 28 64 88 22

SPT(14)	559090905188587649	0 8 30 42 120 132 168 224 260 272 350 362 384 392	-79285594590
SPT(14)	559090915648637089	0 12 18 42 60 70 72 100 102 112 130 154 160 172	-68825545150
SPT(14)	559090948601695183	0 4 18 34 46 66 76 78 88 108 120 136 150 154	-35872487056
SPT(14)	559090950803676971	0 26 32 38 60 78 96 122 140 158 180 186 192 218	-33670505268
SPT(14)	559090963843191677	0 14 20 32 42 50 74 102 126 134 144 156 162 176	-20630990562
SPT(14)	559090970221453609	0 4 18 24 42 52 64 108 120 130 148 154 168 172	-14252728630
SPT(14)	559090998280310773	0 6 16 30 34 36 40 114 118 120 124 138 148 154	13806128534
SPT(14)	559091013970092767	0 30 56 60 66 104 170 270 336 374 380 384 410 440	29495910528
TPT(12)	559091014262154389	0 2 30 32 72 74 78 80 138 140 210 212	29787972150
SPT(14)	559091054022811087	0 12 42 94 112 162 180 196 214 264 282 334 364 376	69548628848
STPT(10)	559091055190384901	0 2 30 32 60 62 90 92 120 122	70716202662