Prime p₀= 1289509028068200617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1289506847993315509	0 28 48 78 90 94 174 178 204 208 288 292 304 334 354 382	-2180074885108
SPT(18)	1289507220186651959	0 38 80 84 122 132 152 168 180 182 194 210 230 240 278 282 324 362	-1807881548658
STPT(10)	1289507253161513171	0 2 36 38 78 80 120 122 156 158	-1774906687446
TPT(14)	1289507610861251387	0 2 60 62 90 92 114 116 144 146 222 224 312 314	-1417206949230
SPT(16)	1289508418735729531	0 22 40 52 58 100 132 166 192 226 258 300 306 318 336 358	-609332471086
STPT(10)	1289508486148860161	0 2 30 32 60 62 90 92 120 122	-541919340456
SPT(16)	1289509154713692433	0 6 10 16 30 48 120 136 138 154 226 244 258 264 268 274	126645491816
STPT(10)	1289509270430207159	0 2 48 50 90 92 132 134 180 182	242362006542
SPT(16)	1289509304452471411	0 72 78 100 106 150 156 162 226 232 238 282 288 310 316 388	276384270794
SPT(16)	1289509540420669301	0 42 56 62 122 132 138 158 180 200 206 216 276 282 296 338	512352468684
STPT(10)	1289510348525222099	0 2 12 14 90 92 168 170 180 182	1320457021482