Prime p₀= 802774661748286679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 76 2

SPT(16)	802772772348985523	0 18 30 54 60 114 120 200 288 368 374 428 434 458 470 488	-1889399301156
SPT(16)	802773486749354599	0 12 100 112 162 190 198 208 264 274 282 310 360 372 460 472	-1174998932080
STPT(10)	802773806194817459	0 2 30 32 60 62 90 92 120 122	-855553469220
SPT(16)	802774007869346171	0 2 8 32 42 72 92 156 182 246 266 296 306 330 336 338	-653878940508
SPT(16)	802774140785237557	0 4 10 16 40 84 126 132 304 310 352 396 420 426 432 436	-520963049122
SPT(16)	802774298347401131	0 36 48 78 90 120 146 152 246 252 278 308 320 350 362 398	-363400885548
SPT(16)	802774755824213567	0 42 54 84 92 110 120 132 134 146 156 174 182 212 224 266	94075926888
SPT(16)	802774831230576467	0 30 32 42 44 120 126 162 194 230 236 312 314 324 326 356	169482289788
SPT(16)	802774863191707079	0 14 18 32 98 102 134 144 308 318 350 354 420 434 438 452	201443420400
SPT(16)	802775082634107169	0 4 34 70 100 114 160 168 244 252 298 312 342 378 408 412	420885820490
STPT(10)	802775470064357729	0 2 30 32 60 62 90 92 120 122	808316071050