Prime p₀= 3091291797253625237 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: L@MiR
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3091291084295628751	0 28 60 96 118 130 132 136 162 166 168 180 202 238 270 298	-712957996486
SPT(16)	3091291101901335953	0 6 36 50 54 78 140 198 236 294 356 380 384 398 428 434	-695352289284
STPT(10)	3091291575537332309	0 2 18 20 30 32 42 44 60 62	-221716292928
STPT(10)	3091291704134052047	0 2 30 32 72 74 114 116 144 146	-93119573190
SPT(16)	3091291753478546213	0 18 26 38 44 50 66 74 120 128 144 150 156 168 176 194	-43775079024
SPT(16)	3091291788267437149	0 10 42 72 82 118 148 192 208 252 282 318 328 358 390 400	-8986188088
STPT(10)	3091293067401180527	0 2 12 14 72 74 132 134 144 146	1270147555290
SPT(16)	3091294690630921339	0 22 28 52 70 88 108 178 204 274 294 312 330 354 360 382	2893377296102
STPT(10)	3091294773710811719	0 2 42 44 60 62 78 80 120 122	2976457186482
SPT(16)	3091294807181916443	0 26 44 54 56 78 168 180 194 206 296 318 320 330 348 374	3009928291206
SPT(16)	3091294814114191463	0 8 36 80 84 120 158 186 188 216 254 290 294 338 366 374	3016860566226