Prime p₀= 1003248512197010267 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: Spectrum
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1003247548548056087	0 14 24 56 66 96 170 222 224 276 350 380 390 422 432 446	-963648954180
STPT(10)	1003247707806157139	0 2 18 20 30 32 42 44 60 62	-804390853128
SPT(16)	1003247790381803807	0 32 36 42 80 92 140 144 242 246 294 306 344 350 354 386	-721815206460
STPT(10)	1003248144032489357	0 2 30 32 72 74 114 116 144 146	-368164520910
SPT(16)	1003248161719740263	0 8 54 90 96 116 144 188 216 260 288 308 314 350 396 404	-350477270004
SPT(16)	1003248453591962009	0 32 42 48 78 84 90 108 134 152 158 164 194 200 210 242	-58605048258
SPT(18)	1003248728345618311	0 18 22 36 58 76 90 112 126 412 426 448 462 480 502 516 520 538	216148608044
TPT(14)	1003248775690932467	0 2 12 14 54 56 90 92 144 146 240 242 300 302	263493922200
SPT(16)	1003249225473662789	0 30 62 68 72 90 140 150 230 240 290 308 312 318 350 380	713276652522
SPT(16)	1003249355618897113	0 6 18 34 70 108 138 166 228 256 286 324 360 376 388 394	843421886846
SPT(16)	1003249557546632881	0 6 18 60 90 130 136 156 172 192 198 238 268 310 322 328	1045349622614