Prime p₀= 1286296529576586257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1286294957495725657	0 16 22 36 42 54 60 82 204 226 232 244 250 264 270 286	-1572080860600
SPT(16)	1286295113299153159	0 10 28 60 94 124 168 180 208 220 264 294 328 360 378 388	-1416277433098
SPT(16)	1286295178990539863	0 36 56 90 110 116 138 176 228 266 288 294 314 348 368 404	-1350586046394
STPT(10)	1286295872656358651	0 2 6 8 48 50 90 92 96 98	-656920227606
SPT(16)	1286295978481604747	0 2 26 60 66 116 126 140 156 170 180 230 236 270 294 296	-551094981510
STPT(10)	1286296125226391099	0 2 42 44 60 62 78 80 120 122	-404350195158
SPT(16)	1286296717034996111	0 2 30 42 48 98 132 188 210 266 300 350 356 368 396 398	187458409854
STPT(10)	1286297506623206261	0 2 30 32 60 62 90 92 120 122	977046620004
STPT(10)	1286297673599166971	0 2 66 68 138 140 210 212 276 278	1144022580714
SPT(16)	1286297738546229907	0 12 16 36 54 60 82 112 114 144 166 172 190 210 214 226	1208969643650
SPT(16)	1286297856757301719	0 4 22 64 78 88 100 108 154 162 174 184 198 240 258 262	1327180715462