Prime p₀= 2089576130244048359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 28 2 10 2 28 2 (?)
a_n: 0 2 12 14 18 20 60 62 90 92 102 104 132 134
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: 134
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 10 4 40 28 10 28

STPT(10)	2089574670696317549	0 2 42 44 90 92 138 140 180 182	-1459547730810
SPT(16)	2089574963433552929	0 20 60 132 140 162 174 224 270 320 332 354 362 434 474 494	-1166810495430
STPT(10)	2089574980979728127	0 2 30 32 42 44 54 56 84 86	-1149264320232
SPT(16)	2089575440591400149	0 20 62 114 128 164 174 180 182 188 198 234 248 300 342 362	-689652648210
STPT(10)	2089575675996965279	0 2 12 14 30 32 48 50 60 62	-454247083080
SPT(16)	2089575847962697067	0 30 56 96 102 110 120 140 156 176 186 194 200 240 266 296	-282281351292
SPT(16)	2089576500021625991	0 32 38 80 90 102 132 140 150 158 188 200 210 252 258 290	369777577632
SPT(16)	2089576697872060343	0 14 18 24 36 38 48 126 248 326 336 338 350 356 360 374	567628011984
STPT(10)	2089577123312835851	0 2 36 38 78 80 120 122 156 158	993068787492
TPT(14)	2089577468491074407	0 2 30 32 102 104 180 182 282 284 294 296 312 314	1338247026048
SPT(16)	2089577966566040633	0 26 30 60 86 104 140 156 158 174 210 228 254 284 288 314	1836321992274