Prime p₀= 1276578515651798477 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1276577659156812563	0 36 50 126 140 150 174 194 246 266 290 300 314 390 404 440	-856494985914
SPT(16)	1276577722273583029	0 4 34 70 94 114 124 130 138 144 154 174 198 234 264 268	-793378215448
SPT(16)	1276577738959250647	0 22 36 76 90 96 132 150 166 184 220 226 240 280 294 316	-776692547830
SPT(16)	1276578057598389079	0 22 30 42 48 88 102 114 118 130 144 184 190 202 210 232	-458053409398
STPT(10)	1276578225238107521	0 2 36 38 78 80 120 122 156 158	-290413690956
STPT(10)	1276578336402893429	0 2 12 14 90 92 168 170 180 182	-179248905048
STPT(10)	1276578598512097649	0 2 18 20 30 32 42 44 60 62	82860299172
SPT(16)	1276578601870801507	0 40 70 84 94 130 154 160 180 186 210 246 256 270 300 340	86219003030
STPT(10)	1276578745631702657	0 2 42 44 72 74 102 104 144 146	229979904180
STPT(10)	1276578818781944441	0 2 30 32 78 80 126 128 156 158	303130145964
SPT(16)	1276578966658222729	0 10 12 34 54 64 82 130 294 342 360 370 390 412 414 424	451006424252