Prime p₀= 558901652195240087 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 124 2 112 2 16 2 (?)
a_n: 0 2 42 44 54 56 180 182 294 296 312 314
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: nenym
db: batch=71, k=12, 40 10 124 112 16

SPT(14)	558901614337939559	0 98 122 150 228 242 294 308 360 374 452 480 504 602	-37857300528
TPT(12)	558901620256097999	0 2 18 20 72 74 102 104 138 140 168 170	-31939142088
SPT(14)	558901632932179081	0 42 52 70 72 76 100 108 132 136 138 156 166 208	-19263061006
SPT(14)	558901637723791189	0 22 24 58 70 72 84 88 100 102 114 148 150 172	-14471448898
SPT(14)	558901645402556233	0 10 18 40 60 88 96 100 108 136 156 178 186 196	-6792683854
SPT(14)	558901646289928153	0 10 24 34 46 64 76 144 156 174 186 196 210 220	-5905311934
STPT(10)	558901654890527951	0 2 30 32 60 62 90 92 120 122	2695287864
SPT(14)	558901656662507423	0 14 24 26 80 84 108 116 140 144 198 200 210 224	4467267336
SPT(14)	558901673763848531	0 20 36 50 78 86 156 200 270 278 306 320 336 356	21568608444
TPT(12)	558901685114728367	0 2 24 26 60 62 84 86 102 104 222 224	32919488280
SPT(14)	558901688846078729	0 20 42 50 62 78 90 92 104 120 132 140 162 182	36650838642