Prime p₀= 1611424281180741791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 46 2 40 2 40 2 76 2 (?)
a_n: 0 2 36 38 78 80 126 128 168 170 210 212 288 290
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: 290
Found by: crashtech
db: batch=78, k=14, 34 40 46 40 40 76

SPT(16)	1611423620311582109	0 14 32 42 48 50 60 62 90 92 102 104 110 120 138 152	-660869159682
STPT(10)	1611423674380694507	0 2 84 86 132 134 180 182 264 266	-606800047284
STPT(10)	1611423721898010827	0 2 42 44 72 74 102 104 144 146	-559282730964
SPT(16)	1611423722169059921	0 2 36 72 80 90 140 156 182 198 248 258 266 302 336 338	-559011681870
STPT(10)	1611423848225729429	0 2 48 50 90 92 132 134 180 182	-432955012362
SPT(16)	1611423971211066833	0 14 36 60 74 108 116 126 308 318 326 360 374 398 420 434	-309969674958
SPT(16)	1611424532348927419	0 22 30 40 54 84 118 138 184 204 238 268 282 292 300 322	251168185628
SPT(16)	1611424623102081743	0 20 26 36 98 138 146 156 158 168 176 216 278 288 294 314	341921339952
SPT(16)	1611424771103186651	0 110 126 188 210 230 276 278 318 320 366 386 408 470 486 596	489922444860
SPT(16)	1611424929385773757	0 12 40 72 94 156 222 234 322 334 400 462 484 516 544 556	648205031966
SPT(16)	1611425845149554653	0 10 76 88 90 118 148 150 154 156 186 214 216 228 294 304	1563968812862