Prime p₀= 5817305053074197 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 106 2 58 2 (?)
a_n: 0 2 42 44 90 92 114 116 222 224 282 284
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: 284
Found by: Egon olsen
db: batch=62, k=12, 40 46 22 106 58

TPT(12)	5817252058696691	0 2 18 20 60 62 96 98 186 188 198 200	-52994377506
TPT(12)	5817253930233047	0 2 12 14 30 32 84 86 150 152 234 236	-51122841150
SPT(14)	5817256894448249	0 20 84 108 110 122 134 138 150 162 164 188 252 272	-48158625948
SPT(14)	5817287051266219	0 28 48 70 84 100 154 174 228 244 258 280 300 328	-18001807978
TPT(12)	5817292210300511	0 2 78 80 90 92 108 110 150 152 210 212	-12842773686
SPT(14)	5817301146612821	0 8 26 32 42 50 60 98 108 116 126 132 150 158	-3906461376
TPT(12)	5817311614152671	0 2 78 80 90 92 96 98 120 122 246 248	6561078474
SPT(14)	5817315680707747	0 124 130 142 144 172 186 220 234 262 264 276 282 406	10627633550
SPT(14)	5817317528615491	0 40 42 72 78 96 106 132 142 160 166 196 198 238	12475541294
SPT(14)	5817318701942507	0 2 6 30 42 44 56 90 102 104 116 140 144 146	13648868310
SPT(16)	5817321673772101	0 28 30 36 52 76 126 132 136 142 192 216 232 238 240 268	16620697904