Prime p₀= 1725758479485562241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 58 2 22 2 34 2 10 2 (?)
a_n: 0 2 30 32 66 68 126 128 150 152 186 188 198 200
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: 200
Found by: Alnitak2019
db: batch=79, k=14, 28 34 58 22 34 10

SPT(18)	1725757901762335979	0 20 32 102 150 158 168 228 252 338 362 422 432 440 488 558 570 590	-577723226262
TPT(14)	1725758057368530641	0 2 30 32 96 98 108 110 288 290 456 458 486 488	-422117031600
SPT(16)	1725758068003197023	0 6 8 48 90 104 134 146 168 180 210 224 266 306 308 314	-411482365218
SPT(16)	1725758182975206353	0 74 80 110 116 134 150 164 180 194 210 228 234 264 270 344	-296510355888
STPT(10)	1725758215814257577	0 2 30 32 42 44 54 56 84 86	-263671304664
STPT(10)	1725758291622687977	0 2 12 14 132 134 252 254 264 266	-187862874264
SPT(16)	1725758490247983643	0 4 34 64 88 96 100 106 138 144 148 156 180 210 240 244	10762421402
STPT(10)	1725759439127893847	0 2 30 32 42 44 54 56 84 86	959642331606
SPT(16)	1725759470159392103	0 24 56 78 86 116 120 134 150 164 168 198 206 228 260 284	990673829862
SPT(16)	1725759599773116487	0 30 52 112 150 186 216 220 276 280 310 346 384 444 466 496	1120287554246
SPT(16)	1725759600809800427	0 14 92 102 182 204 216 222 224 230 242 264 344 354 432 446	1121324238186