Prime p₀= 840775625614074119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 10 2 34 2 40 2 (?)
a_n: 0 2 30 32 48 50 90 92 102 104 138 140 180 182
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: 182
Found by: Ralfy
db: batch=73, k=14, 28 16 40 10 34 40

SPT(18)	840774523413855131	0 26 72 98 128 132 138 140 182 246 288 290 296 300 330 356 402 428	-1102200218988
SPT(16)	840774663186227983	0 6 70 90 148 156 180 198 208 226 250 258 316 336 400 406	-962427846136
STPT(10)	840774817238825267	0 2 30 32 42 44 54 56 84 86	-808375248852
SPT(16)	840775480996674581	0 8 42 68 86 120 156 158 180 182 218 252 270 296 330 338	-144617399538
SPT(16)	840775492413452377	0 6 34 40 52 60 82 106 150 174 196 204 216 222 250 256	-133200621742
SPT(16)	840775571197332937	0 6 40 46 60 66 70 96 124 150 154 160 174 180 214 220	-54416741182
SPT(16)	840775827727629709	0 10 18 58 82 84 88 142 180 234 238 240 264 304 312 322	202113555590
SPT(16)	840775842576888553	0 10 18 76 90 144 154 168 286 300 310 364 378 436 444 454	216962814434
TPT(14)	840776495356536419	0 2 18 20 30 32 132 134 198 200 288 290 312 314	869742462300
SPT(16)	840776796262706449	0 124 132 172 198 238 240 394 408 562 564 604 630 670 678 802	1170648632330
SPT(16)	840777184336330783	0 10 28 34 48 66 78 120 124 166 178 196 210 216 234 244	1558722256664