Prime p₀= 5817205003107599 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 82 2 4 2 22 2 (?)
a_n: 0 2 12 14 48 50 132 134 138 140 162 164
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: 164
Found by: Egon olsen
db: batch=62, k=12, 10 34 82 4 22

SPT(14)	5817161697559109	0 8 32 42 50 78 84 98 104 132 140 150 174 182	-43305548490
SPT(14)	5817166267743641	0 2 66 68 98 108 150 188 230 240 270 272 336 338	-38735363958
SPT(14)	5817177974589497	0 14 20 24 26 36 54 62 80 90 92 96 102 116	-27028518102
SPT(14)	5817180588457661	0 12 20 38 78 80 108 122 150 152 192 210 218 230	-24414649938
TPT(12)	5817182858706227	0 2 114 116 180 182 222 224 390 392 444 446	-22144401372
SPT(14)	5817196047921617	0 30 42 56 80 86 132 140 186 192 216 230 242 272	-8955185982
SPT(14)	5817228893639083	0 70 120 126 148 156 204 400 448 456 478 484 534 604	23890531484
SPT(14)	5817232351705991	0 12 32 86 126 138 152 156 170 182 222 276 296 308	27348598392
SPT(14)	5817235758193291	0 18 28 60 66 70 102 136 168 172 178 210 220 238	30755085692
SPT(14)	5817236891561341	0 10 12 52 60 78 88 102 112 130 138 178 180 190	31888453742
SPT(14)	5817244563419609	0 8 20 48 62 80 92 150 162 180 194 222 234 242	39560312010