Prime p₀= 1088587685044012997 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: [SG]ATA-Rolf
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1088585792297128003	0 4 6 36 54 60 88 106 138 156 184 190 208 238 240 244	-1892746884994
STPT(10)	1088586197346897419	0 2 18 20 30 32 42 44 60 62	-1487697115578
STPT(10)	1088586580328003039	0 2 48 50 90 92 132 134 180 182	-1104716009958
SPT(16)	1088586958049187829	0 64 72 88 94 102 112 130 162 180 190 198 204 220 228 292	-726994825168
SPT(16)	1088587437293233789	0 84 90 172 184 240 280 324 358 402 442 498 510 592 598 682	-247750779208
SPT(16)	1088587622654486767	0 22 54 72 82 94 154 186 190 222 282 294 304 322 354 376	-62389526230
TPT(14)	1088588382931898507	0 2 24 26 42 44 72 74 222 224 294 296 372 374	697887885510
SPT(16)	1088588681303150299	0 12 28 70 72 90 108 130 180 202 220 238 240 282 298 310	996259137302
STPT(10)	1088588720715755627	0 2 30 32 42 44 54 56 84 86	1035671742630
STPT(10)	1088588778355456949	0 2 18 20 30 32 42 44 60 62	1093311443952
TPT(14)	1088588802862455017	0 2 30 32 54 56 114 116 132 134 144 146 270 272	1117818442020