Prime p₀= 788129693085058991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG]FX
db: batch=73, k=10, 2 4 2 10 2

STPT(10)	788129206594824509	0 2 18 20 30 32 42 44 60 62	-486490234482
STPT(10)	788129301036306077	0 2 30 32 60 62 90 92 120 122	-392048752914
SPT(16)	788129365572938089	0 10 30 78 100 112 114 120 142 148 150 162 184 232 252 262	-327512120902
STPT(12)	788129588502341021	0 2 30 32 60 62 66 68 96 98 126 128	-104582717970
SPT(16)	788129608909765813	0 4 34 36 78 126 136 168 196 228 238 286 328 330 360 364	-84175293178
STPT(10)	788129669134245791	0 2 78 80 108 110 138 140 216 218	-23950813200
STPT(12)	788129863796689109	0 2 12 14 42 44 48 50 78 80 90 92	170711630118
SPT(16)	788129902955864683	0 40 54 60 64 70 84 154 174 244 258 264 268 274 288 328	209870805692
SPT(16)	788130210344319593	0 36 78 84 90 116 134 216 218 300 318 344 350 356 398 434	517259260602
SPT(16)	788130233010442397	0 12 26 56 84 102 216 246 410 440 554 572 600 630 644 656	539925383406
SPT(18)	788130269606084959	0 24 42 58 60 72 102 112 114 208 210 220 250 262 264 280 298 322	576521025968