Prime p₀= 1461080195964953567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 46 2 76 2 40 2 10 2 (?)
a_n: 0 2 24 26 84 86 132 134 210 212 252 254 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: Theadalus
db: batch=78, k=14, 22 58 46 76 40 10

SPT(16)	1461079587631431931	0 70 100 108 118 126 130 160 168 198 202 210 220 228 258 328	-608333521636
SPT(16)	1461079664022280271	0 6 30 102 126 156 158 186 242 270 272 302 326 398 422 428	-531942673296
SPT(16)	1461079668791817829	0 10 30 60 88 94 112 144 208 240 258 264 292 322 342 352	-527173135738
STPT(10)	1461079920033772151	0 2 36 38 78 80 120 122 156 158	-275931181416
STPT(10)	1461079945253248091	0 2 36 38 78 80 120 122 156 158	-250711705476
SPT(16)	1461079947179726831	0 12 26 132 156 168 236 240 308 312 380 392 416 522 536 548	-248785226736
STPT(10)	1461080297233431629	0 2 18 20 30 32 42 44 60 62	101268478062
SPT(16)	1461080335798463143	0 10 18 36 84 88 106 108 166 168 186 190 238 256 264 274	139833509576
STPT(12)	1461080813131828151	0 2 30 32 90 92 168 170 228 230 258 260	617166874584
SPT(16)	1461081498341318123	0 8 48 56 74 78 90 158 186 254 266 270 288 296 336 344	1302376364556
STPT(10)	1461081569500591457	0 2 12 14 42 44 72 74 84 86	1373535637890