Prime p₀= 2728776858442256519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

TPT(14)	2728774747644276299	0 2 78 80 132 134 192 194 258 260 300 302 348 350	-2110797980220
SPT(16)	2728775043827428103	0 6 56 74 126 134 180 200 204 224 270 278 330 348 398 404	-1814614828416
SPT(16)	2728775324883520711	0 40 42 82 100 126 178 208 240 270 322 348 366 406 408 448	-1533558735808
STPT(10)	2728775562314891939	0 2 90 92 150 152 210 212 300 302	-1296127364580
SPT(16)	2728776096650265929	0 38 42 60 80 98 114 158 204 248 264 282 302 320 324 362	-761791990590
SPT(16)	2728776682374820999	0 12 70 82 108 138 148 168 172 192 202 232 258 270 328 340	-176067435520
SPT(16)	2728777414622600449	0 10 82 138 160 262 264 294 358 388 390 492 514 570 642 652	556180343930
TPT(14)	2728777490129628491	0 2 30 32 36 38 66 68 78 80 168 170 210 212	631687371972
SPT(16)	2728777924645378751	0 48 56 78 92 122 252 266 312 326 456 486 500 522 530 578	1066203122232
STPT(10)	2728778245523824589	0 2 18 20 30 32 42 44 60 62	1387081568070
SPT(16)	2728778426300489737	0 40 82 126 142 196 202 214 252 264 270 324 340 384 426 466	1567858233218