Prime p₀= 2593876193444147537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 76 2 40 2 46 2 (?)
a_n: 0 2 30 32 72 74 132 134 210 212 252 254 300 302
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: RFGuy_KCCO
db: batch=82, k=14, 28 40 58 76 40 46

SPT(16)	2593875408683891837	0 30 42 44 74 156 162 222 224 284 290 372 402 404 416 446	-784760255700
STPT(10)	2593875476766504989	0 2 42 44 60 62 78 80 120 122	-716677642548
SPT(16)	2593875709943774119	0 10 22 24 58 70 90 100 132 142 162 174 208 210 222 232	-483500373418
STPT(10)	2593875752609691461	0 2 6 8 18 20 30 32 36 38	-440834456076
SPT(16)	2593875923891834147	0 14 24 42 54 80 86 140 156 210 216 242 254 272 282 296	-269552313390
STPT(10)	2593876092986061617	0 2 30 32 42 44 54 56 84 86	-100458085920
SPT(16)	2593876746733213703	0 6 26 48 66 80 86 90 146 150 156 170 188 210 230 236	553289066166
STPT(10)	2593876863327310667	0 2 12 14 42 44 72 74 84 86	669883163130
SPT(18)	2593876960819910839	0 10 22 40 54 64 78 108 112 120 124 154 168 178 192 210 222 232	767375763302
SPT(16)	2593877242863948779	0 8 30 72 80 132 182 188 234 240 290 342 350 392 414 422	1049419801242
STPT(10)	2593877376374164217	0 2 30 32 42 44 54 56 84 86	1182930016680