Prime p₀= 2788042841148634637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2788041465310797611	0 2 26 60 68 86 146 152 216 222 282 300 308 342 366 368	-1375837837026
SPT(16)	2788041609553205437	0 70 76 102 126 130 144 172 234 262 276 280 304 330 336 406	-1231595429200
SPT(16)	2788041703608042781	0 6 58 60 78 100 118 126 160 168 186 208 226 228 280 286	-1137540591856
TPT(16)	2788041723522907427	0 2 30 32 42 44 120 122 132 134 144 146 294 296 300 302	-1117625727210
SPT(16)	2788042163930343997	0 34 46 84 106 130 174 190 216 232 276 300 322 360 372 406	-677218290640
TPT(14)	2788042771154891639	0 2 48 50 72 74 132 134 138 140 210 212 252 254	-69993742998
SPT(16)	2788043213649111401	0 8 18 60 68 120 168 176 180 188 236 288 296 338 348 356	372500476764
STPT(10)	2788043895760761887	0 2 30 32 42 44 54 56 84 86	1054612127250
SPT(16)	2788044562628414183	0 20 50 84 108 164 168 180 248 260 264 320 344 378 408 428	1721479779546
STPT(10)	2788044749859246971	0 2 30 32 60 62 90 92 120 122	1908710612334
STPT(10)	2788044796207537169	0 2 78 80 120 122 162 164 240 242	1955058902532