Prime p₀= 2531087689666542467 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]ATA-Rolf
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2531085695718242009	0 18 48 54 62 72 120 132 140 152 200 210 218 224 254 272	-1993948300458
SPT(18)	2531085824519190563	0 14 20 144 150 164 206 228 248 276 296 318 360 374 380 504 510 524	-1865147351904
STPT(12)	2531086481730722801	0 2 18 20 30 32 186 188 198 200 216 218	-1207935819666
STPT(10)	2531086764271320551	0 2 6 8 18 20 30 32 36 38	-925395221916
TPT(14)	2531086806170664821	0 2 6 8 30 32 78 80 120 122 228 230 258 260	-883495877646
SPT(16)	2531087411932767001	0 6 10 30 48 58 72 100 108 136 150 160 178 198 202 208	-277733775466
SPT(16)	2531087939220421849	0 24 78 88 94 118 130 190 198 258 270 294 300 310 364 388	249553879382
STPT(10)	2531087946479983901	0 2 6 8 48 50 90 92 96 98	256813441434
SPT(16)	2531088151998629453	0 14 48 80 110 128 140 150 314 324 336 354 384 416 450 464	462332086986
SPT(16)	2531088190492930489	0 4 12 72 78 100 130 142 210 222 252 274 280 340 348 352	500826388022
SPT(16)	2531088273431494103	0 38 66 68 78 104 110 138 176 204 210 236 246 248 276 314	583764951636