Prime p₀= 2129378161393334219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2129376596431098787	0 6 10 12 100 132 142 180 196 234 244 276 364 366 370 376	-1564962235432
SPT(16)	2129376597761370073	0 6 18 30 46 88 90 156 160 226 228 270 286 298 310 316	-1563631964146
SPT(16)	2129377198415614283	0 14 30 68 140 168 198 204 230 236 266 294 366 404 420 434	-962977719936
SPT(16)	2129377529207405333	0 8 38 48 50 104 110 150 194 234 240 294 296 306 336 344	-632185928886
STPT(10)	2129377562796083651	0 2 6 8 18 20 30 32 36 38	-598597250568
SPT(16)	2129377697457481403	0 14 30 66 114 116 126 140 144 158 168 170 218 254 270 284	-463935852816
SPT(16)	2129378268982400327	0 2 12 24 42 170 204 290 306 392 426 554 572 584 594 596	107589066108
TPT(14)	2129378326464651851	0 2 30 32 66 68 108 110 138 140 198 200 210 212	165071317632
SPT(16)	2129378519632865309	0 12 72 78 92 168 182 194 198 210 224 300 314 320 380 392	358239531090
SPT(18)	2129378670986684281	0 16 22 36 66 106 112 162 178 300 316 366 372 412 442 456 462 478	509593350062
SPT(16)	2129378740576838281	0 6 46 60 72 88 108 112 216 220 240 256 268 282 322 328	579183504062