Prime p₀= 2341244988834577919 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: eclipse99
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2341243693322841533	0 20 36 48 90 108 120 146 150 176 188 206 248 260 276 296	-1295511736386
STPT(10)	2341244049109949741	0 2 6 8 18 20 30 32 36 38	-939724628178
SPT(16)	2341244253521212489	0 22 48 94 102 118 132 150 172 190 204 220 228 274 300 322	-735313365430
STPT(10)	2341244649351609887	0 2 12 14 42 44 72 74 84 86	-339482968032
SPT(16)	2341244912218335751	0 60 66 70 96 136 138 148 150 160 162 202 228 232 238 298	-76616242168
SPT(13)	2341244915878895281	0 66 72 150 210 216 246 276 282 342 420 426 492	-72955682638
STPT(10)	2341245143732139917	0 2 30 32 42 44 54 56 84 86	154897561998
SPT(16)	2341245270272215837	0 6 34 60 66 102 154 166 180 192 244 280 286 312 340 346	281437637918
SPT(16)	2341245304476608393	0 26 50 66 134 138 146 164 180 198 206 210 278 294 318 344	315642030474
SPT(16)	2341245324619887173	0 14 20 50 78 116 120 138 146 164 168 206 234 264 270 284	335785309254
SPT(16)	2341245665560086323	0 36 78 80 84 114 150 164 180 194 230 260 264 266 308 344	676725508404