Prime p₀= 2223772589167299167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 10 2 4 2 40 2 46 2 (?)
a_n: 0 2 54 56 72 74 84 86 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=81, k=14, 52 16 10 4 40 46

STPT(10)	2223769528681745459	0 2 18 20 30 32 42 44 60 62	-3060485553708
SPT(16)	2223770877808095877	0 4 30 60 84 94 136 160 186 210 252 262 286 316 342 346	-1711359203290
SPT(16)	2223771532151549089	0 22 24 34 42 90 112 114 118 120 142 190 198 208 210 232	-1057015750078
SPT(16)	2223771986223560389	0 64 78 94 112 114 214 238 264 288 388 390 408 424 438 502	-602943738778
SPT(16)	2223772275970986319	0 40 54 82 112 148 160 178 204 222 234 270 300 328 342 382	-313196312848
SPT(16)	2223772276735492381	0 10 28 30 66 90 100 106 210 216 226 250 286 288 306 316	-312431806786
STPT(10)	2223772650674341841	0 2 6 8 48 50 90 92 96 98	61507042674
STPT(10)	2223772737111317057	0 2 30 32 42 44 54 56 84 86	147944017890
SPT(16)	2223772927996651613	0 8 18 26 54 66 98 140 204 246 278 290 318 326 336 344	338829352446
SPT(16)	2223773027728019419	0 94 124 138 144 150 172 238 264 330 352 358 364 378 408 502	438560720252
SPT(16)	2223773163835792397	0 2 66 72 86 122 156 180 206 230 264 300 314 320 384 386	574668493230