Prime p₀= 262913583459116591 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 58 2 40 2 16 2 (?)
a_n: 0 2 66 68 78 80 138 140 180 182 198 200
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: 200
Found by: Vitalii Koshura
db: batch=69, k=12, 64 10 58 40 16

SPT(14)	262913543080581557	0 14 30 42 50 54 72 134 152 156 164 176 192 206	-40378535034
SPT(14)	262913548605415261	0 16 22 52 66 78 100 108 130 142 156 186 192 208	-34853701330
SPT(14)	262913553466209029	0 14 72 132 140 152 180 224 252 264 272 332 390 404	-29992907562
TPT(12)	262913570916697949	0 2 48 50 120 122 132 134 150 152 162 164	-12542418642
SPT(14)	262913571843143699	0 14 24 74 92 98 102 140 144 150 168 218 228 242	-11615972892
TPT(12)	262913576024979431	0 2 30 32 138 140 156 158 168 170 210 212	-7434137160
SPT(14)	262913594411348819	0 8 30 32 98 102 108 302 308 312 378 380 402 410	10952232228
SPT(14)	262913598940539979	0 4 34 40 54 64 70 138 144 154 168 174 204 208	15481423388
SPT(14)	262913622964622843	0 26 36 48 54 68 110 114 156 170 176 188 198 224	39505506252
SPT(14)	262913641030634053	0 4 18 84 118 120 154 264 298 300 334 400 414 418	57571517462
SPT(14)	262913651054708441	0 2 6 12 60 78 90 98 110 128 176 182 186 188	67595591850