Prime p₀= 1065107165585714807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: arkiss
db: batch=76, k=10, 2 82 2 46 2

SPT(16)	1065105214917926447	0 30 72 80 126 140 146 182 300 336 342 356 402 410 452 482	-1950667788360
STPT(10)	1065105474983584031	0 2 6 8 48 50 90 92 96 98	-1690602130776
SPT(16)	1065105508169727833	0 30 48 68 74 84 116 120 194 198 230 240 246 266 284 314	-1657415986974
STPT(10)	1065105733062534269	0 2 72 74 120 122 168 170 240 242	-1432523180538
SPT(16)	1065106810115718541	0 6 36 40 78 90 132 138 190 196 238 250 288 292 322 328	-355469996266
SPT(16)	1065107115532793981	0 20 26 32 42 60 86 126 146 186 212 230 240 246 252 272	-50052920826
SPT(16)	1065107385313889947	0 16 46 66 84 126 144 156 220 232 250 292 310 330 360 376	219728175140
STPT(10)	1065107735314753979	0 2 30 32 60 62 90 92 120 122	569729039172
SPT(16)	1065107831209735771	0 22 30 76 96 100 148 168 190 210 258 262 282 328 336 358	665624020964
SPT(16)	1065108181832116351	0 90 100 186 268 312 322 360 388 426 436 480 562 648 658 748	1016246401544
STPT(10)	1065108915369045137	0 2 84 86 132 134 180 182 264 266	1749783330330