Prime p₀= 2011875078301229177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 124 2 40 2 16 2 40 2 70 2 (?)
a_n: 0 2 24 26 150 152 192 194 210 212 252 254 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 22 124 40 16 40 70

SPT(16)	2011874127794417699	0 14 38 54 72 128 150 158 204 212 234 290 308 324 348 362	-950506811478
SPT(16)	2011874570658996907	0 6 30 174 216 222 234 252 264 282 294 300 342 486 510 516	-507642232270
STPT(10)	2011874573502008399	0 2 18 20 30 32 42 44 60 62	-504799220778
STPT(10)	2011874577751305341	0 2 6 8 48 50 90 92 96 98	-500549923836
SPT(16)	2011874663438966849	0 18 42 50 90 120 134 158 204 228 242 272 312 320 344 362	-414862262328
STPT(10)	2011874793117476381	0 2 6 8 48 50 90 92 96 98	-285183752796
SPT(16)	2011875116371179853	0 70 114 150 190 198 210 288 310 388 400 408 448 484 528 598	38069950676
TPT(14)	2011875179609711081	0 2 30 32 78 80 108 110 156 158 180 182 210 212	101308481904
SPT(16)	2011875473877513599	0 24 90 122 134 144 164 210 224 270 290 300 312 344 410 434	395576284422
SPT(16)	2011875841150847977	0 4 30 42 54 64 70 112 114 156 162 172 184 196 222 226	762849618800
STPT(10)	2011875941899491011	0 2 36 38 78 80 120 122 156 158	863598261834