Prime p₀= 2582198356382220347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 166 2 28 2 10 2 178 2 (?)
a_n: 0 2 90 92 102 104 270 272 300 302 312 314 492 494
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: 494
Found by: JayPi
db: batch=82, k=14, 88 10 166 28 10 178

SPT(16)	2582197119024312973	0 10 18 46 60 84 108 130 144 166 190 214 228 256 264 274	-1237357907374
STPT(10)	2582197141279928057	0 2 30 32 72 74 114 116 144 146	-1215102292290
SPT(16)	2582197292124940493	0 14 54 68 104 126 134 150 164 180 188 210 246 260 300 314	-1064257279854
STPT(10)	2582197387080052109	0 2 18 20 30 32 42 44 60 62	-969302168238
STPT(10)	2582197390856117381	0 2 6 8 48 50 90 92 96 98	-965526102966
SPT(16)	2582198113152460463	0 66 110 126 138 140 150 156 188 194 204 206 218 234 278 344	-243229759884
STPT(10)	2582199123369160037	0 2 12 14 42 44 72 74 84 86	766986939690
SPT(16)	2582199211112487041	0 12 26 32 38 60 108 122 246 260 308 330 336 342 356 368	854730266694
SPT(16)	2582199593371607927	0 6 14 20 32 84 90 116 120 146 152 204 216 222 230 236	1236989387580
STPT(10)	2582199944368557437	0 2 12 14 42 44 72 74 84 86	1587986337090
SPT(16)	2582199970172362511	0 60 80 86 126 138 186 188 360 362 410 422 462 468 488 548	1613790142164