Prime p₀= 87667327705165259 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 4 2 118 2 10 2 28 2 (?)
a_n: 0 2 72 74 78 80 198 200 210 212 240 242
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: 242
Found by: nenym
db: batch=67, k=12, 70 4 118 10 28

SPT(14)	87667263016327333	0 10 16 78 84 108 114 160 166 190 196 258 264 274	-64688837926
SPT(14)	87667279510859603	0 14 20 48 86 206 218 246 258 378 416 444 450 464	-48194305656
SPT(14)	87667282059898349	0 20 32 74 78 198 200 282 284 404 408 450 462 482	-45645266910
SPT(14)	87667289800232887	0 70 96 106 114 136 150 196 210 232 240 250 276 346	-37904932372
TPT(12)	87667308075777641	0 2 96 98 156 158 276 278 288 290 336 338	-19629387618
SPT(14)	87667313388388009	0 30 34 64 78 82 108 124 150 154 168 198 202 232	-14316777250
SPT(16)	87667338269931019	0 18 22 34 84 112 144 160 162 178 210 238 288 300 304 322	10564765760
SPT(14)	87667340682566521	0 22 42 48 88 90 108 112 130 132 172 178 198 220	12977401262
SPT(14)	87667347677742697	0 22 34 90 100 102 120 124 142 144 154 210 222 244	19972577438
TPT(12)	87667370912524967	0 2 12 14 42 44 54 56 102 104 144 146	43207359708
SPT(14)	87667392389638349	0 18 54 78 80 110 134 144 168 198 200 224 260 278	64684473090