Prime p₀= 779090364089198279 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: Ralfy
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	779089519880125217	0 2 24 54 60 80 110 114 152 156 186 206 212 242 264 266	-844209073062
SPT(16)	779089573715647619	0 20 50 60 78 90 98 104 138 144 152 164 182 192 222 242	-790373550660
SPT(16)	779090044140089477	0 14 32 56 60 90 92 122 144 174 176 206 210 234 252 266	-319949108802
SPT(16)	779090135174414471	0 6 38 90 102 108 126 140 168 182 200 206 218 270 302 308	-228914783808
TPT(14)	779090261891000957	0 2 30 32 42 44 60 62 72 74 144 146 162 164	-102198197322
SPT(16)	779090262619327843	0 18 66 130 156 220 226 246 268 288 294 358 384 448 496 514	-101469870436
TPT(14)	779090815093232027	0 2 42 44 72 74 84 86 192 194 222 224 234 236	451004033748
SPT(16)	779091108591766627	0 34 40 52 82 90 172 184 210 222 304 312 342 354 360 394	744502568348
SPT(16)	779091136639979771	0 2 18 26 56 60 86 138 170 222 248 252 282 290 306 308	772550781492
STPT(10)	779091181446723557	0 2 24 26 42 44 60 62 84 86	817357525278
STPT(10)	779091309465522407	0 2 12 14 72 74 132 134 144 146	945376324128