Prime p₀= 2422301957370574397 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2422301160080212997	0 50 62 66 92 102 126 150 176 200 224 234 260 264 276 326	-797290361400
SPT(16)	2422301312904882067	0 10 16 22 36 66 94 102 154 162 190 220 234 240 246 256	-644465692330
STPT(10)	2422301536379673209	0 2 48 50 60 62 72 74 120 122	-420990901188
SPT(16)	2422301615751571717	0 30 42 66 76 120 142 154 192 204 226 270 280 304 316 346	-341619002680
SPT(16)	2422301665102907557	0 54 90 112 142 162 184 204 250 270 292 312 342 364 400 454	-292267666840
SPT(16)	2422301766866660579	0 24 42 60 84 90 164 200 234 270 344 350 374 392 410 434	-190503913818
TPT(14)	2422302224752670987	0 2 42 44 102 104 114 116 180 182 282 284 312 314	267382096590
STPT(10)	2422302678088863641	0 2 30 32 78 80 126 128 156 158	720718289244
SPT(16)	2422302794920019383	0 28 58 66 78 130 186 210 424 448 504 556 568 576 606 634	837549444986
TPT(14)	2422302995876224457	0 2 150 152 192 194 204 206 234 236 294 296 462 464	1038505650060
SPT(16)	2422303729110555419	0 2 12 90 140 152 194 210 302 318 360 372 422 500 510 512	1771739981022