Prime p₀= 2293013683746159557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 82 2 28 2 4 2 22 2 (?)
a_n: 0 2 72 74 120 122 204 206 234 236 240 242 264 266
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: 266
Found by: Landjunge
db: batch=81, k=14, 70 46 82 28 4 22

STPT(10)	2293011793571589191	0 2 6 8 48 50 90 92 96 98	-1890174570366
STPT(10)	2293012180628618567	0 2 24 26 42 44 60 62 84 86	-1503117540990
SPT(16)	2293012445996448881	0 6 20 26 38 42 48 60 188 200 206 210 222 228 242 248	-1237749710676
STPT(10)	2293012496844267827	0 2 30 32 72 74 114 116 144 146	-1186901891730
SPT(16)	2293013164523655307	0 54 60 96 130 136 154 160 186 192 210 216 250 286 292 346	-519222504250
SPT(16)	2293013169646419683	0 24 38 50 116 126 138 140 204 206 218 228 294 306 320 344	-514099739874
SPT(16)	2293014050886932531	0 72 92 116 152 156 162 168 170 176 182 186 222 246 266 338	367140772974
SPT(16)	2293014888529700267	0 20 36 62 74 102 114 174 212 272 284 312 324 350 366 386	1204783540710
SPT(16)	2293015073741551351	0 10 36 40 70 82 90 100 132 142 150 162 192 196 222 232	1389995391794
TPT(14)	2293015252827441509	0 2 42 44 48 50 108 110 168 170 180 182 222 224	1569081281952
STPT(10)	2293015615702358549	0 2 30 32 60 62 90 92 120 122	1931956198992