Prime p₀= 2066721119033803847 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: Cruncher Pete
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2066719216857367309	0 58 90 124 130 154 168 172 180 184 198 222 228 262 294 352	-1902176436538
STPT(10)	2066719245183453269	0 2 12 14 90 92 168 170 180 182	-1873850350578
SPT(16)	2066719686803049977	0 6 12 26 72 80 150 182 240 272 342 350 396 410 416 422	-1432230753870
STPT(10)	2066719836493587599	0 2 42 44 60 62 78 80 120 122	-1282540216248
SPT(16)	2066720092003432199	0 42 68 74 90 98 102 110 132 140 144 152 168 174 200 242	-1027030371648
STPT(10)	2066721085074870779	0 2 42 44 60 62 78 80 120 122	-33958933068
STPT(10)	2066721771273875621	0 2 6 8 48 50 90 92 96 98	652240071774
STPT(10)	2066722222995449819	0 2 48 50 60 62 72 74 120 122	1103961645972
SPT(13)	2066722473489933313	0 6 54 66 84 96 150 204 216 234 246 294 300	1354456129466
TPT(14)	2066722821289576157	0 2 114 116 162 164 180 182 204 206 210 212 222 224	1702255772310
SPT(16)	2066722870106287487	0 6 26 42 80 134 152 162 194 204 222 276 314 330 350 356	1751072483640