Prime p₀= 2777642027118401897 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2777640503938856201	0 78 120 126 140 156 158 170 216 228 230 246 260 266 308 386	-1523179545696
TPT(14)	2777640759518760347	0 2 60 62 114 116 120 122 132 134 144 146 174 176	-1267599641550
STPT(10)	2777640824922496847	0 2 12 14 42 44 72 74 84 86	-1202195905050
STPT(10)	2777640929686855751	0 2 30 32 78 80 126 128 156 158	-1097431546146
TPT(14)	2777641511046856409	0 2 18 20 42 44 138 140 180 182 228 230 300 302	-516071545488
SPT(16)	2777641878050727619	0 72 180 252 274 294 310 354 358 402 418 438 460 532 640 712	-149067674278
SPT(16)	2777642062396928371	0 40 46 88 100 108 166 196 210 240 298 306 318 360 366 406	35278526474
SPT(16)	2777642098739630911	0 28 78 90 120 130 148 162 178 192 210 220 250 262 312 340	71621229014
SPT(16)	2777642104683128671	0 30 72 106 108 118 130 172 216 258 270 280 282 316 358 388	77564726774
TPT(14)	2777642859334818017	0 2 54 56 72 74 90 92 180 182 240 242 252 254	832216416120
SPT(16)	2777643281409565199	0 8 42 102 108 138 270 284 288 302 434 464 470 530 564 572	1254291163302