Prime p₀= 2777727335767994261 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2777726377464044953	0 18 36 70 88 90 130 148 156 174 214 216 234 268 286 304	-958303949308
SPT(16)	2777726503249449397	0 22 72 84 100 142 144 172 252 280 282 324 340 352 402 424	-832518544864
SPT(16)	2777726901973326467	0 2 14 50 72 114 126 140 156 170 182 224 246 282 294 296	-433794667794
STPT(10)	2777727028601345069	0 2 18 20 30 32 42 44 60 62	-307166649192
SPT(16)	2777727075852347909	0 24 38 50 54 78 90 134 168 212 224 248 252 264 278 302	-259915646352
STPT(10)	2777727193696918961	0 2 36 38 78 80 120 122 156 158	-142071075300
SPT(18)	2777727595670741137	0 4 12 102 106 130 160 166 180 196 210 216 246 270 274 364 372 376	259902746876
SPT(16)	2777727717678966907	0 12 46 72 82 96 136 142 150 156 196 210 220 246 280 292	381910972646
STPT(10)	2777727876021121979	0 2 42 44 90 92 138 140 180 182	540253127718
STPT(10)	2777727891397629407	0 2 30 32 42 44 54 56 84 86	555629635146
SPT(16)	2777727994586348213	0 44 78 98 114 128 134 146 168 180 186 200 216 236 270 314	658818353952