Prime p₀= 2694426436063551521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 10 2 16 2 22 2 (?)
a_n: 0 2 36 38 48 50 66 68 78 80 96 98 120 122
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: 122
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 10 16 10 16 22

SPT(18)	2694424455023312021	0 26 36 72 96 110 138 140 168 260 288 290 318 332 356 392 402 428	-1981040239500
STPT(10)	2694424666183073069	0 2 78 80 120 122 162 164 240 242	-1769880478452
SPT(16)	2694425375740371737	0 72 102 114 164 182 216 224 552 560 594 612 662 674 704 776	-1060323179784
STPT(10)	2694425545611391349	0 2 18 20 30 32 42 44 60 62	-890452160172
SPT(16)	2694425737209802459	0 10 84 94 160 204 210 220 318 328 334 378 444 454 528 538	-698853749062
TPT(14)	2694426181219903859	0 2 78 80 198 200 222 224 372 374 450 452 462 464	-254843647662
SPT(16)	2694426607037605651	0 28 58 78 100 106 136 142 246 252 282 288 310 330 360 388	170974054130
SPT(16)	2694428289560019989	0 8 42 44 54 84 110 162 230 282 308 338 348 350 384 392	1853496468468
SPT(16)	2694428968116976907	0 6 26 42 66 180 182 222 260 300 302 416 440 456 476 482	2532053425386
STPT(10)	2694428986517192927	0 2 30 32 60 62 90 92 120 122	2550453641406
SPT(16)	2694429351727227397	0 34 54 70 150 162 166 192 304 330 334 346 426 442 462 496	2915663675876