Prime p₀= 262502695375708859 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 82 2 46 2 10 2 (?)
a_n: 0 2 42 44 78 80 162 164 210 212 222 224
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: 224
Found by: Paul
db: batch=69, k=12, 40 34 82 46 10

SPT(14)	262502568085688143	0 16 78 94 100 108 126 148 166 174 180 196 258 274	-127290020716
SPT(14)	262502598598778749	0 24 40 54 58 60 70 138 148 150 154 168 184 208	-96776930110
TPT(12)	262502637668080487	0 2 42 44 54 56 72 74 144 146 150 152	-57707628372
SPT(16)	262502645911688759	0 20 24 38 68 92 104 150 152 198 210 234 264 278 282 302	-49464020100
SPT(14)	262502674583485727	0 6 72 74 80 110 144 152 186 216 222 224 290 296	-20792223132
SPT(14)	262502678624929879	0 34 82 132 142 180 198 244 262 300 310 360 408 442	-16750778980
TPT(12)	262502709919376471	0 2 30 32 138 140 150 152 156 158 396 398	14543667612
TPT(12)	262502756820384467	0 2 72 74 90 92 204 206 294 296 342 344	61444675608
SPT(14)	262502776047229423	0 6 24 34 96 118 144 160 186 208 270 280 298 304	80671520564
SPT(14)	262502780950665379	0 12 34 82 120 190 192 262 264 334 372 420 442 454	85574956520
TPT(12)	262502785734813311	0 2 6 8 48 50 186 188 198 200 216 218	90359104452