Prime p₀= 805572285405676301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 106 2 10 2 16 2 22 2 (?)
a_n: 0 2 60 62 78 80 186 188 198 200 216 218 240 242
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: 242
Found by: [SG]FX
db: batch=73, k=14, 58 16 106 10 16 22

SPT(16)	805571579887515361	0 16 46 48 72 76 88 172 186 270 282 286 310 312 342 358	-705518160940
SPT(16)	805571757892384519	0 12 54 72 78 84 130 148 204 222 268 274 280 298 340 352	-527513291782
STPT(10)	805571814188833121	0 2 6 8 108 110 210 212 216 218	-471216843180
SPT(16)	805571922188757439	0 4 52 72 78 84 102 118 144 160 178 184 190 210 258 262	-363216918862
STPT(10)	805572023847949451	0 2 36 38 78 80 120 122 156 158	-261557726850
STPT(10)	805572232606683119	0 2 42 44 90 92 138 140 180 182	-52798993182
TPT(14)	805572700679056379	0 2 168 170 180 182 222 224 348 350 390 392 420 422	415273380078
STPT(10)	805572928542096899	0 2 18 20 30 32 42 44 60 62	643136420598
SPT(16)	805573240870625443	0 34 40 84 88 90 138 210 298 370 418 420 424 468 474 508	955464949142
SPT(16)	805573383205081307	0 6 24 26 62 102 110 144 182 216 224 264 300 302 320 326	1097799405006
TPT(14)	805573563951668327	0 2 12 14 30 32 60 62 102 104 114 116 132 134	1278545992026