Prime p₀= 5817311614152671 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 10 2 4 2 22 2 124 2 (?)
a_n: 0 2 78 80 90 92 96 98 120 122 246 248
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: 248
Found by: Egon olsen
db: batch=62, k=12, 76 10 4 22 124

TPT(12)	5817253930233047	0 2 12 14 30 32 84 86 150 152 234 236	-57683919624
SPT(14)	5817256894448249	0 20 84 108 110 122 134 138 150 162 164 188 252 272	-54719704422
SPT(14)	5817287051266219	0 28 48 70 84 100 154 174 228 244 258 280 300 328	-24562886452
TPT(12)	5817292210300511	0 2 78 80 90 92 108 110 150 152 210 212	-19403852160
SPT(14)	5817301146612821	0 8 26 32 42 50 60 98 108 116 126 132 150 158	-10467539850
TPT(12)	5817305053074197	0 2 42 44 90 92 114 116 222 224 282 284	-6561078474
SPT(14)	5817315680707747	0 124 130 142 144 172 186 220 234 262 264 276 282 406	4066555076
SPT(14)	5817317528615491	0 40 42 72 78 96 106 132 142 160 166 196 198 238	5914462820
SPT(14)	5817318701942507	0 2 6 30 42 44 56 90 102 104 116 140 144 146	7087789836
SPT(16)	5817321673772101	0 28 30 36 52 76 126 132 136 142 192 216 232 238 240 268	10059619430
SPT(14)	5817328619180257	0 12 46 54 90 130 132 154 156 196 232 240 274 286	17005027586