Prime p₀= 855420268971236027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 190 2 124 2 10 2 28 2 (?)
a_n: 0 2 24 26 42 44 234 236 360 362 372 374 402 404
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: Phoenix48
db: batch=73, k=14, 22 16 190 124 10 28

SPT(16)	855418722294490021	0 28 52 66 106 120 150 162 196 208 238 252 292 306 330 358	-1546676746006
SPT(16)	855418953833796719	0 2 20 48 68 122 138 174 188 224 240 294 314 342 360 362	-1315137439308
SPT(16)	855419188747393843	0 34 40 60 88 108 124 196 198 270 286 306 334 354 360 394	-1080223842184
SPT(16)	855419353957378333	0 6 28 40 60 78 84 90 154 160 166 184 204 216 238 244	-915013857694
SPT(16)	855419616133026821	0 6 32 48 60 66 78 108 140 170 182 188 200 216 242 248	-652838209206
SPT(16)	855420146135405899	0 28 34 42 52 60 94 154 198 258 292 300 310 318 324 352	-122835830128
SPT(16)	855420710723692667	0 2 50 54 60 66 92 102 134 144 170 176 182 186 234 236	441752456640
SPT(16)	855420861795521579	0 24 32 42 62 78 104 182 210 288 314 330 350 360 368 392	592824285552
STPT(10)	855420886590159917	0 2 24 26 42 44 60 62 84 86	617618923890
TPT(14)	855420931404654827	0 2 60 62 84 86 174 176 210 212 240 242 342 344	662433418800
SPT(16)	855421017159716617	0 60 82 120 124 142 184 186 190 192 234 252 256 294 316 376	748188480590