Prime p₀= 1648334792840329817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 4 2 22 2 28 2 34 2 40 2 (?)
a_n: 0 2 54 56 60 62 84 86 114 116 150 152 192 194
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: 194
Found by: Paul
db: batch=78, k=14, 52 4 22 28 34 40

SPT(16)	1648333711446427471	0 42 96 142 148 156 168 180 268 280 292 300 306 352 406 448	-1081393902346
SPT(16)	1648333901799646877	0 14 30 36 56 90 156 176 180 200 266 300 320 326 342 356	-891040682940
STPT(10)	1648334248784757617	0 2 30 32 72 74 114 116 144 146	-544055572200
SPT(16)	1648334433773093519	0 8 12 18 32 50 60 90 110 140 150 168 182 188 192 200	-359067236298
STPT(10)	1648334512953279161	0 2 6 8 48 50 90 92 96 98	-279887050656
SPT(16)	1648334775822175897	0 24 30 52 100 120 144 150 184 190 214 234 282 304 310 334	-17018153920
SPT(16)	1648334965750280693	0 18 84 110 134 186 218 224 240 246 278 330 354 380 446 464	172909950876
SPT(16)	1648335231439590731	0 32 66 78 92 98 140 176 192 228 270 276 290 302 336 368	438599260914
STPT(10)	1648335244053593201	0 2 66 68 138 140 210 212 276 278	451213263384
SPT(16)	1648335374380101997	0 64 130 142 174 186 204 210 316 322 340 352 384 396 462 526	581539772180
STPT(10)	1648335577644666257	0 2 12 14 42 44 72 74 84 86	784804336440