Prime p₀= 3997485274691927699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 22 2 16 2 40 2 34 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 132 134 168 170
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: 170
Found by: [AF] Kalianthys
db: batch=84, k=14, 28 16 22 16 40 34

SPT(16)	3997484108415415339	0 22 54 60 120 144 168 208 234 274 298 322 382 388 420 442	-1166276512360
STPT(10)	3997484633727252761	0 2 36 38 78 80 120 122 156 158	-640964674938
SPT(16)	3997484796976647671	0 18 30 38 56 78 128 140 186 198 248 270 288 296 308 326	-477715280028
TPT(14)	3997484870743714121	0 2 48 50 90 92 126 128 186 188 288 290 366 368	-403948213578
SPT(16)	3997485075664591169	0 18 32 38 60 110 168 192 200 224 282 332 354 360 374 392	-199027336530
STPT(10)	3997485248575954979	0 2 18 20 30 32 42 44 60 62	-26115972720
TPT(14)	3997485398620730321	0 2 30 32 90 92 138 140 156 158 186 188 240 242	123928802622
STPT(16)	3997485516868307129	0 2 12 14 180 182 198 200 222 224 240 242 408 410 420 422	242176379430
SPT(16)	3997485516868307129	0 2 12 14 180 182 198 200 222 224 240 242 408 410 420 422	242176379430
TPT(16)	3997485516868307129	0 2 12 14 180 182 198 200 222 224 240 242 408 410 420 422	242176379430
STPT(10)	3997485804473753489	0 2 18 20 60 62 102 104 120 122	529781825790