Prime p₀= 2301020339924329757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 136 2 28 2 40 2 16 2 (?)
a_n: 0 2 24 26 54 56 192 194 222 224 264 266 282 284
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: 284
Found by: MarkRBright
db: batch=81, k=14, 22 28 136 28 40 16

STPT(10)	2301019263959353739	0 2 42 44 90 92 138 140 180 182	-1075964976018
STPT(10)	2301019390238598437	0 2 90 92 102 104 114 116 204 206	-949685731320
SPT(16)	2301019966098204157	0 24 30 46 130 144 190 196 234 240 286 300 384 400 406 430	-373826125600
STPT(10)	2301020044044272561	0 2 90 92 108 110 126 128 216 218	-295880057196
SPT(16)	2301020148206786711	0 8 20 42 92 102 146 150 158 162 206 216 266 288 300 308	-191717543046
SPT(16)	2301020277832655381	0 8 62 66 80 92 168 216 242 290 366 378 392 396 450 458	-62091674376
STPT(10)	2301020557668383597	0 2 54 56 72 74 90 92 144 146	217744053840
SPT(16)	2301020562676776013	0 16 28 54 120 184 190 234 250 294 300 364 430 456 468 484	222752446256
SPT(16)	2301020784700642429	0 18 88 94 112 162 174 190 192 208 220 270 288 294 364 382	444776312672
STPT(10)	2301021172479254567	0 2 24 26 42 44 60 62 84 86	832554924810
SPT(16)	2301021317548877141	0 18 56 72 116 122 126 150 158 182 186 192 236 252 290 308	977624547384