Prime p₀= 2162061756353825309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 76 2 28 2 22 2 16 2 16 2 (?)
a_n: 0 2 90 92 168 170 198 200 222 224 240 242 258 260
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: 260
Found by: Landjunge
db: batch=81, k=14, 88 76 28 22 16 16

SPT(13)	2162060629205210491	0 6 42 102 120 156 186 216 252 270 330 366 372	-1127148614818
STPT(10)	2162060695762153091	0 2 6 8 48 50 90 92 96 98	-1060591672218
SPT(16)	2162060921414703649	0 22 82 120 138 148 172 174 238 240 264 274 292 330 390 412	-834939121660
STPT(10)	2162060979973245887	0 2 30 32 42 44 54 56 84 86	-776380579422
SPT(16)	2162061227945853121	0 28 40 42 72 76 82 96 172 186 192 196 226 228 240 268	-528407972188
SPT(18)	2162061359809886323	0 6 24 28 118 148 154 180 208 216 244 270 276 306 396 400 418 424	-396543938986
SPT(16)	2162061839752532063	0 20 24 38 80 156 188 210 254 276 308 384 426 440 444 464	83398706754
TPT(14)	2162061857494851197	0 2 12 14 42 44 54 56 72 74 144 146 240 242	101141025888
SPT(16)	2162061896583660727	0 36 60 82 102 120 160 186 190 216 256 274 294 316 340 376	140229835418
TPT(14)	2162062107247325417	0 2 30 32 114 116 222 224 234 236 294 296 330 332	350893500108
STPT(10)	2162062362480218831	0 2 6 8 48 50 90 92 96 98	606126393522