Prime p₀= 2293056210600228167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 82 2 4 2 22 2 154 2 40 2 (?)
a_n: 0 2 90 92 174 176 180 182 204 206 360 362 402 404
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: 404
Found by: Orange Kid
db: batch=81, k=14, 88 82 4 22 154 40

SPT(16)	2293055293077392167	0 30 34 46 70 76 100 102 184 186 210 216 240 252 256 286	-917522836000
SPT(16)	2293055424427168969	0 18 42 54 84 144 172 208 354 390 418 478 508 520 544 562	-786173059198
STPT(10)	2293055440658599889	0 2 18 20 30 32 42 44 60 62	-769941628278
SPT(16)	2293055507779693991	0 60 66 80 90 102 132 140 168 176 206 218 228 242 248 308	-702820534176
SPT(16)	2293055826109029491	0 32 38 60 86 90 102 116 222 236 248 252 278 300 306 338	-384491198676
SPT(16)	2293056108868759331	0 6 56 146 180 192 206 212 336 342 356 368 402 492 542 548	-101731468836
STPT(10)	2293056610495429949	0 2 42 44 60 62 78 80 120 122	399895201782
SPT(16)	2293057673169597541	0 6 42 58 120 126 138 142 186 190 202 208 270 286 322 328	1462569369374
SPT(16)	2293057800121802239	0 12 30 42 52 60 70 120 214 264 274 282 292 304 322 334	1589521574072
STPT(10)	2293057808510939891	0 2 36 38 78 80 120 122 156 158	1597910711724
SPT(16)	2293058263564968787	0 10 34 52 60 66 130 172 264 306 370 376 384 402 426 436	2052964740620