Prime p₀= 853531326241142321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 52 2 64 2 28 2 22 2 (?)
a_n: 0 2 66 68 126 128 180 182 246 248 276 278 300 302
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: 302
Found by: Lee Hee Lak
db: batch=73, k=14, 64 58 52 64 28 22

SPT(16)	853529041866249563	0 6 38 104 110 128 146 188 216 258 276 294 300 366 398 404	-2284374892758
TPT(14)	853529844027611291	0 2 6 8 30 32 78 80 90 92 156 158 168 170	-1482213531030
TPT(14)	853529938423206377	0 2 54 56 90 92 114 116 144 146 264 266 324 326	-1387817935944
SPT(16)	853530086770913869	0 4 22 28 42 52 58 70 102 114 120 130 144 150 168 172	-1239470228452
SPT(16)	853531068087465791	0 6 20 36 38 60 92 108 140 156 188 210 212 228 242 248	-258153676530
SPT(16)	853531089974447461	0 40 52 100 108 132 156 168 250 262 286 310 318 366 378 418	-236266694860
STPT(10)	853531518037609727	0 2 30 32 42 44 54 56 84 86	191796467406
SPT(16)	853532166538759159	0 28 58 78 90 160 162 210 322 370 372 442 454 474 504 532	840297616838
STPT(10)	853532590854760277	0 2 24 26 42 44 60 62 84 86	1264613617956
SPT(16)	853533262690877827	0 24 34 42 60 90 112 136 210 234 256 286 304 312 322 346	1936449735506
SPT(16)	853534216240334579	0 12 38 48 60 62 98 104 108 114 150 152 164 174 200 212	2889999192258