Prime p₀= 2121490367546005271 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 4 2 28 2 52 2 4 2 (?)
a_n: 0 2 6 8 90 92 96 98 126 128 180 182 186 188
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: 188
Found by: Landjunge
db: batch=80, k=14, 4 82 4 28 52 4

SPT(16)	2121488920636706963	0 6 90 104 116 168 174 180 194 200 206 258 270 284 368 374	-1446909298308
TPT(14)	2121489031658910467	0 2 12 14 24 26 54 56 204 206 222 224 240 242	-1335887094804
STPT(10)	2121489286775842589	0 2 12 14 90 92 168 170 180 182	-1080770162682
STPT(14)	2121489336354303701	0 2 30 32 36 38 78 80 120 122 126 128 156 158	-1031191701570
TPT(14)	2121489336354303701	0 2 30 32 36 38 78 80 120 122 126 128 156 158	-1031191701570
SPT(16)	2121490145860769213	0 8 96 98 116 134 144 150 194 200 210 228 246 248 336 344	-221685236058
STPT(10)	2121490615649663117	0 2 30 32 72 74 114 116 144 146	248103657846
SPT(18)	2121490941415940869	0 42 84 88 118 150 172 210 228 244 262 300 322 354 384 388 430 472	573869935598
SPT(16)	2121491098709729543	0 30 38 60 80 168 170 200 234 264 266 354 374 396 404 434	731163724272
STPT(10)	2121491488336079537	0 2 12 14 42 44 72 74 84 86	1120790074266
SPT(16)	2121491497130016523	0 4 30 36 108 130 156 166 168 178 204 226 298 304 330 334	1129584011252