Prime p₀= 897945509599928771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 16 2 10 2 28 2 4 2 (?)
a_n: 0 2 18 20 60 62 78 80 90 92 120 122 126 128
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: 128
Found by: Fardringle
db: batch=73, k=14, 16 40 16 10 28 4

SPT(16)	897943567831575131	0 38 60 96 132 146 158 168 170 180 192 206 242 278 300 338	-1941768353640
SPT(16)	897943584066525817	0 42 60 94 142 196 220 234 262 276 300 354 402 436 454 496	-1925533402954
SPT(16)	897944016142043993	0 20 24 30 50 68 78 104 114 140 150 168 188 194 198 218	-1493457884778
SPT(16)	897944358568766813	0 14 24 66 78 80 104 120 134 150 174 176 188 230 240 254	-1151031161958
SPT(16)	897944857002239833	0 10 24 28 48 64 66 120 154 208 210 226 246 250 264 274	-652597688938
SPT(16)	897945256654075237	0 4 6 12 40 66 84 102 124 142 160 186 214 220 222 226	-252945853534
SPT(16)	897945698275024307	0 80 90 104 212 234 236 240 266 270 272 294 402 416 426 506	188675095536
SPT(16)	897945729763540519	0 12 22 42 52 120 138 162 178 202 220 288 298 318 328 340	220163611748
TPT(14)	897945974554655909	0 2 42 44 78 80 192 194 240 242 330 332 372 374	464954727138
TPT(14)	897946350711560261	0 2 66 68 138 140 150 152 156 158 180 182 198 200	841111631490
STPT(10)	897946422847869557	0 2 30 32 42 44 54 56 84 86	913247940786