Prime p₀= 1214567599355185487 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: xii5ku
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1214566031994034961	0 38 92 96 120 156 168 170 258 260 272 308 332 336 390 428	-1567361150526
SPT(16)	1214566501577237101	0 16 28 96 112 130 156 178 300 322 348 366 382 450 462 478	-1097777948386
SPT(16)	1214566681765656533	0 56 110 146 198 216 224 240 254 270 278 296 348 384 438 494	-917589528954
STPT(10)	1214567090700655589	0 2 42 44 60 62 78 80 120 122	-508654529898
TPT(14)	1214567162434438289	0 2 12 14 162 164 222 224 318 320 378 380 432 434	-436920747198
SPT(16)	1214567258254345343	0 14 24 36 56 78 80 116 168 204 206 228 248 260 270 284	-341100840144
SPT(16)	1214567707409184871	0 10 12 22 36 42 66 78 100 112 136 142 156 166 168 178	108053999384
TPT(14)	1214567791056151001	0 2 96 98 108 110 150 152 156 158 348 350 390 392	191700965514
STPT(10)	1214567969619651107	0 2 24 26 42 44 60 62 84 86	370264465620
SPT(16)	1214568062983752679	0 4 28 30 70 72 132 138 244 250 310 312 352 354 378 382	463628567192
SPT(16)	1214568208716966527	0 14 92 134 140 156 182 194 282 294 320 336 342 384 462 476	609361781040