Prime p₀= 378638081776002089 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Cruncher Pete
db: batch=70, k=10, 2 16 2 10 2

SPT(14)	378638021222432593	0 4 24 46 70 88 108 136 156 174 198 220 240 244	-60553569496
SPT(14)	378638029208141243	0 36 56 78 114 146 186 188 228 260 296 318 338 374	-52567860846
SPT(14)	378638035458316727	0 30 32 56 62 114 144 212 242 294 300 324 326 356	-46317685362
TPT(12)	378638045190963167	0 2 30 32 84 86 120 122 150 152 162 164	-36585038922
SPT(14)	378638063007513359	0 8 50 68 72 78 92 228 242 248 252 270 312 320	-18768488730
TPT(12)	378638065900869491	0 2 6 8 78 80 90 92 96 98 120 122	-15875132598
SPT(14)	378638093780056037	0 12 14 36 54 114 120 146 152 212 230 252 254 266	12004053948
SPT(14)	378638097521555177	0 50 92 116 132 140 152 174 186 194 210 234 276 326	15745553088
SPT(14)	378638098074251779	0 70 108 148 180 192 222 238 268 280 312 352 390 460	16298249690
SPT(14)	378638125953511091	0 12 26 50 56 92 120 182 210 246 252 276 290 302	44177509002
SPT(14)	378638138248916921	0 20 42 60 90 102 146 156 200 212 242 260 282 302	56472914832