Prime p₀= 756612713026887947 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: GLeeM
db: batch=73, k=10, 2 22 2 16 2

STPT(10)	756611831858809019	0 2 30 32 60 62 90 92 120 122	-881168078928
STPT(10)	756611958898670837	0 2 30 32 42 44 54 56 84 86	-754128217110
SPT(16)	756612160395232931	0 30 80 86 98 110 126 158 180 212 228 240 252 258 308 338	-552631655016
SPT(16)	756612551258292557	0 20 72 90 126 132 182 210 236 264 314 320 356 374 426 446	-161768595390
STPT(10)	756612565918342631	0 2 36 38 78 80 120 122 156 158	-147108545316
STPT(10)	756612658808868047	0 2 90 92 132 134 174 176 264 266	-54218019900
SPT(16)	756612782925175441	0 6 12 42 52 90 96 136 156 196 202 240 250 280 286 292	69898287494
SPT(16)	756612804824784949	0 40 72 84 90 114 132 150 202 220 238 262 268 280 312 352	91797897002
SPT(16)	756612977667242653	0 18 34 94 130 154 168 178 210 220 234 258 294 354 370 388	264640354706
STPT(10)	756613379815899377	0 2 30 32 72 74 114 116 144 146	666789011430
SPT(16)	756613495007454283	0 16 36 58 106 166 174 180 184 190 198 258 306 328 348 364	781980566336