Prime p₀= 2371919782658990741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 88 2 22 2 58 2 34 2 28 2 (?)
a_n: 0 2 126 128 216 218 240 242 300 302 336 338 366 368
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: 368
Found by: Landjunge
db: batch=81, k=14, 124 88 22 58 34 28

STPT(10)	2371917124734650147	0 2 54 56 72 74 90 92 144 146	-2657924340594
SPT(16)	2371917233670647987	0 30 42 80 86 120 134 140 156 162 176 210 216 254 266 296	-2548988342754
STPT(10)	2371918017761354939	0 2 30 32 60 62 90 92 120 122	-1764897635802
SPT(16)	2371918347339226501	0 6 60 70 76 96 100 148 348 396 400 420 426 436 490 496	-1435319764240
STPT(10)	2371919081930525459	0 2 12 14 90 92 168 170 180 182	-700728465282
SPT(16)	2371919573384379643	0 28 66 70 88 94 106 150 154 198 210 216 234 238 276 304	-209274611098
STPT(10)	2371920056262286529	0 2 18 20 30 32 42 44 60 62	273603295788
STPT(10)	2371920085196193209	0 2 18 20 30 32 42 44 60 62	302537202468
STPT(10)	2371920320996284691	0 2 6 8 48 50 90 92 96 98	538337293950
SPT(16)	2371920732268281101	0 12 18 32 42 50 56 78 140 162 168 176 186 200 206 218	949609290360
TPT(14)	2371920778296219389	0 2 30 32 108 110 120 122 180 182 222 224 378 380	995637228648