Prime p₀= 1093584028568986457 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1093582386408458731	0 78 88 100 102 120 186 228 250 292 358 376 378 390 400 478	-1642160527726
STPT(10)	1093582852913657891	0 2 36 38 78 80 120 122 156 158	-1175655328566
SPT(16)	1093583228720334809	0 2 32 62 98 114 134 150 182 198 218 234 270 300 330 332	-799848651648
SPT(16)	1093583319541311199	0 24 28 34 54 112 118 130 132 144 150 208 228 234 238 262	-709027675258
SPT(16)	1093583500069676509	0 40 64 70 108 138 154 192 220 258 274 304 342 348 372 412	-528499309948
SPT(16)	1093583734174517903	0 6 14 30 56 80 84 104 150 170 174 198 224 240 248 254	-294394468554
STPT(10)	1093584034465463267	0 2 24 26 42 44 60 62 84 86	5896476810
SPT(18)	1093584116587855199	0 38 62 104 114 138 140 164 182 240 258 282 284 308 318 360 384 422	88018868742
SPT(16)	1093585360899724241	0 2 6 30 42 66 96 180 308 392 422 446 458 482 486 488	1332330737784
SPT(16)	1093585625729950651	0 18 30 48 72 82 100 138 160 198 216 226 250 268 280 298	1597160964194
STPT(10)	1093585738195819367	0 2 42 44 72 74 102 104 144 146	1709626832910