Prime p₀= 2726523268766932931 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2726521761895438673	0 24 26 56 74 96 110 140 144 174 188 210 228 258 260 284	-1506871494258
STPT(10)	2726521930567062869	0 2 42 44 90 92 138 140 180 182	-1338199870062
STPT(10)	2726522099933236901	0 2 6 8 18 20 30 32 36 38	-1168833696030
TPT(14)	2726522460888602807	0 2 72 74 90 92 210 212 264 266 300 302 342 344	-807878330124
SPT(16)	2726522462271462521	0 6 32 38 42 60 80 86 102 108 128 146 150 156 182 188	-806495470410
SPT(16)	2726522916437531657	0 14 50 80 90 116 120 132 134 146 150 176 186 216 252 266	-352329401274
SPT(16)	2726523514354936039	0 58 64 78 100 142 154 178 204 228 240 282 304 318 324 382	245588003108
SPT(16)	2726523539868779639	0 18 20 32 48 102 132 162 170 200 230 284 300 312 314 332	271101846708
STPT(10)	2726523739362281141	0 2 6 8 48 50 90 92 96 98	470595348210
TPT(14)	2726523934510315139	0 2 12 14 48 50 72 74 102 104 168 170 228 230	665743382208
STPT(10)	2726524112138983757	0 2 30 32 42 44 54 56 84 86	843372050826