Prime p₀= 2377867312392747809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 28 2 40 2 34 2 100 2 (?)
a_n: 0 2 18 20 30 32 60 62 102 104 138 140 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 16 10 28 40 34 100

SPT(16)	2377865545463162857	0 6 72 84 112 114 126 130 156 160 172 174 202 214 280 286	-1766929584952
SPT(16)	2377865681112049939	0 42 48 54 88 90 114 144 208 238 262 264 298 304 310 352	-1631280697870
SPT(16)	2377866227874371713	0 58 78 120 178 180 216 240 244 268 304 306 364 406 426 484	-1084518376096
SPT(16)	2377866902063360863	0 4 18 60 130 154 166 184 210 228 240 264 334 376 390 394	-410329386946
STPT(10)	2377867045982854967	0 2 30 32 72 74 114 116 144 146	-266409892842
STPT(10)	2377867146845031197	0 2 30 32 72 74 114 116 144 146	-165547716612
SPT(16)	2377867378751886247	0 22 36 84 94 132 160 172 234 246 274 312 322 370 384 406	66359138438
SPT(16)	2377868168327692669	0 10 54 90 100 114 142 154 180 192 220 234 244 280 324 334	855934944860
STPT(10)	2377868398141911089	0 2 18 20 30 32 42 44 60 62	1085749163280
TPT(14)	2377869044762676581	0 2 96 98 138 140 186 188 270 272 306 308 348 350	1732369928772
SPT(16)	2377869096189329999	0 14 78 98 120 152 168 200 222 254 270 302 324 344 408 422	1783796582190