Prime p₀= 743933469029183567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 64 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 54 56 120 122 180 182 210 212 222 224
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: 224
Found by: Theadalus
db: batch=73, k=14, 10 40 64 58 28 10

SPT(16)	743932852816498531	0 18 30 60 72 88 106 120 148 162 180 196 208 238 250 268	-616212685036
SPT(16)	743932884242697047	0 12 20 26 54 66 72 104 132 164 170 182 210 216 224 236	-584786486520
STPT(10)	743932992364719299	0 2 18 20 30 32 42 44 60 62	-476664464268
SPT(16)	743933019928470719	0 2 42 50 72 84 120 132 140 152 188 200 222 230 270 272	-449100712848
STPT(12)	743933202468896729	0 2 18 20 42 44 78 80 102 104 120 122	-266560286838
SPT(16)	743933319593026729	0 4 60 70 88 102 118 132 160 174 190 204 222 232 288 292	-149436156838
SPT(16)	743933754477546797	0 2 54 92 110 126 156 176 240 260 290 306 324 362 414 416	285448363230
STPT(10)	743934047882866661	0 2 6 8 18 20 30 32 36 38	578853683094
SPT(16)	743934320509510597	0 24 34 36 76 96 106 132 154 180 190 210 250 252 262 286	851480327030
STPT(10)	743934607988248949	0 2 18 20 30 32 42 44 60 62	1138959065382
STPT(10)	743934962829850577	0 2 30 32 60 62 90 92 120 122	1493800667010