Prime p₀= 2093386507815650651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 76 2 28 2 178 2 58 2 (?)
a_n: 0 2 60 62 90 92 168 170 198 200 378 380 438 440
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: 440
Found by: Landjunge
db: batch=80, k=14, 58 28 76 28 178 58

SPT(16)	2093385147185875901	0 18 30 50 68 80 96 122 156 182 198 210 228 248 260 278	-1360629774750
STPT(10)	2093385155394366017	0 2 30 32 60 62 90 92 120 122	-1352421284634
TPT(14)	2093385743367531581	0 2 48 50 90 92 126 128 216 218 276 278 336 338	-764448119070
STPT(10)	2093385914839172267	0 2 12 14 42 44 72 74 84 86	-592976478384
SPT(16)	2093385936858517481	0 6 36 48 60 98 140 180 188 228 270 308 320 332 362 368	-570957133170
SPT(16)	2093386011102310763	0 18 38 44 66 90 144 150 164 170 224 248 270 276 296 314	-496713339888
SPT(16)	2093386700624245841	0 8 72 90 92 132 138 140 168 170 176 216 218 236 300 308	192808595190
STPT(10)	2093386718637348401	0 2 36 38 78 80 120 122 156 158	210821697750
STPT(10)	2093386779762076031	0 2 36 38 78 80 120 122 156 158	271946425380
SPT(16)	2093386840920404567	0 14 26 42 66 152 206 234 272 300 354 440 464 480 492 506	333104753916
SPT(16)	2093386917689083721	0 18 20 80 126 150 168 216 242 290 308 332 378 438 440 458	409873433070