Prime p₀= 261348100701400211 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 40 2 28 2 46 2 16 2 (?)
a_n: 0 2 48 50 90 92 120 122 168 170 186 188
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: 188
Found by: paulteo
db: batch=69, k=12, 46 40 28 46 16

SPT(14)	261347997939154751	0 18 50 62 78 86 102 146 162 170 186 198 230 248	-102762245460
SPT(14)	261348048510691193	0 24 36 38 50 80 126 128 174 204 216 218 230 254	-52190709018
SPT(16)	261348058665972623	0 20 50 60 114 120 134 140 288 294 308 314 368 378 408 428	-42035427588
SPT(14)	261348093124511663	0 6 30 54 110 128 138 176 186 204 260 284 308 314	-7576888548
SPT(14)	261348094409843087	0 14 54 110 122 140 150 164 174 192 204 260 300 314	-6291557124
TPT(12)	261348094901753987	0 2 24 26 54 56 72 74 114 116 150 152	-5799646224
SPT(14)	261348106527386033	0 8 18 24 38 68 128 150 210 240 254 260 270 278	5825985822
SPT(14)	261348128672685107	0 20 36 42 50 54 60 86 92 96 104 110 126 146	27971284896
SPT(16)	261348138971760839	0 74 78 104 120 144 180 188 300 308 344 368 384 410 414 488	38270360628
SPT(14)	261348156935469557	0 2 32 50 72 84 90 116 122 134 156 174 204 206	56234069346
TPT(12)	261348157866559571	0 2 90 92 150 152 168 170 276 278 300 302	57165159360