Prime p₀= 1262344833035035637 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1262344189568201447	0 14 32 54 80 120 122 140 204 222 224 264 290 312 330 344	-643466834190
SPT(16)	1262344239338194417	0 12 52 60 126 150 250 270 292 312 412 436 502 510 550 562	-593696841220
SPT(16)	1262344414550624257	0 4 40 90 124 130 132 184 282 334 336 342 376 426 462 466	-418484411380
STPT(10)	1262344577740268567	0 2 30 32 42 44 54 56 84 86	-255294767070
SPT(16)	1262344614011644643	0 30 44 60 120 168 188 194 204 210 230 278 338 354 368 398	-219023390994
STPT(10)	1262344802113879529	0 2 12 14 90 92 168 170 180 182	-30921156108
SPT(16)	1262345011280592979	0 28 60 88 94 102 112 124 138 150 160 168 174 202 234 262	178245557342
STPT(10)	1262345166335973371	0 2 36 38 78 80 120 122 156 158	333300937734
SPT(16)	1262345255396561701	0 18 30 78 96 126 148 208 210 270 292 322 340 388 400 418	422361526064
STPT(12)	1262345415234375947	0 2 12 14 54 56 60 62 102 104 114 116	582199340310
STPT(10)	1262345415876552101	0 2 6 8 48 50 90 92 96 98	582841516464