Prime p₀= 1725757876239650021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 88 2 10 2 28 2 28 2 (?)
a_n: 0 2 60 62 66 68 156 158 168 170 198 200 228 230
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: 230
Found by: Alnitak2019
db: batch=79, k=14, 58 4 88 10 28 28

SPT(16)	1725756026770635109	0 24 28 70 84 108 180 204 238 262 334 358 372 414 418 442	-1849469014912
STPT(10)	1725756318241479989	0 2 12 14 90 92 168 170 180 182	-1557998170032
SPT(16)	1725756419552344897	0 16 112 124 190 216 222 232 264 274 280 306 372 384 480 496	-1456687305124
SPT(16)	1725756466661284303	0 28 54 100 138 168 186 256 288 358 376 406 444 490 516 544	-1409578365718
SPT(16)	1725756928501849231	0 10 28 66 72 108 120 150 238 268 280 316 322 360 378 388	-947737800790
TPT(14)	1725757142802703817	0 2 30 32 210 212 342 344 372 374 450 452 540 542	-733436946204
SPT(18)	1725757901762335979	0 20 32 102 150 158 168 228 252 338 362 422 432 440 488 558 570 590	25522685958
TPT(14)	1725758057368530641	0 2 30 32 96 98 108 110 288 290 456 458 486 488	181128880620
SPT(16)	1725758068003197023	0 6 8 48 90 104 134 146 168 180 210 224 266 306 308 314	191763547002
SPT(16)	1725758182975206353	0 74 80 110 116 134 150 164 180 194 210 228 234 264 270 344	306735556332
STPT(10)	1725758215814257577	0 2 30 32 42 44 54 56 84 86	339574607556