Prime p₀= 1167167926321361537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 40 2 28 2

SPT(16)	1167167394695727137	0 30 56 62 84 114 144 150 206 212 242 272 294 300 326 356	-531625634400
SPT(16)	1167167415818326907	0 26 32 36 66 74 80 84 92 96 102 110 140 144 150 176	-510503034630
SPT(16)	1167167435441568191	0 56 80 98 116 126 138 140 168 170 182 192 210 228 252 308	-490879793346
SPT(16)	1167167532477555481	0 36 42 52 96 120 130 138 160 168 178 202 246 256 262 298	-393843806056
SPT(16)	1167167782063947491	0 38 48 50 72 78 98 116 132 150 170 176 198 200 210 248	-144257414046
TPT(14)	1167167912636302271	0 2 30 32 78 80 90 92 120 122 126 128 210 212	-13685059266
TPT(14)	1167168141229299659	0 2 30 32 72 74 90 92 102 104 168 170 228 230	214907938122
STPT(10)	1167168642733754069	0 2 12 14 90 92 168 170 180 182	716412392532
SPT(16)	1167169249079097181	0 22 30 42 66 88 100 106 192 198 210 232 256 268 276 298	1322757735644
STPT(10)	1167169396911991337	0 2 42 44 72 74 102 104 144 146	1470590629800
STPT(10)	1167169777471525181	0 2 6 8 48 50 90 92 96 98	1851150163644