Prime p₀= 2743701953938154969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 70 2 10 2 88 2 28 2 (?)
a_n: 0 2 60 62 138 140 210 212 222 224 312 314 342 344
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: 344
Found by: [SG-FC] hl
db: batch=82, k=14, 58 76 70 10 88 28

SPT(13)	2743699855024786109	0 18 48 60 84 144 174 204 264 288 300 330 348	-2098913368860
STPT(10)	2743700072487126119	0 2 12 14 90 92 168 170 180 182	-1881451028850
SPT(16)	2743700094621319501	0 78 96 100 108 126 148 198 328 378 400 418 426 430 448 526	-1859316835468
SPT(16)	2743700577012013757	0 6 12 74 180 182 222 224 402 404 444 446 552 614 620 626	-1376926141212
STPT(10)	2743701339725249357	0 2 24 26 42 44 60 62 84 86	-614212905612
SPT(16)	2743701767825006311	0 10 52 82 108 142 166 192 196 222 246 280 306 336 378 388	-186113148658
STPT(10)	2743701954214034237	0 2 54 56 72 74 90 92 144 146	275879268
STPT(10)	2743702037995171751	0 2 36 38 78 80 120 122 156 158	84057016782
SPT(16)	2743702598316484247	0 2 80 86 120 150 186 204 212 230 266 296 330 336 414 416	644378329278
STPT(10)	2743702770714976319	0 2 18 20 30 32 42 44 60 62	816776821350
TPT(14)	2743703179705244087	0 2 42 44 90 92 102 104 114 116 144 146 312 314	1225767089118