Prime p₀= 2741879396994797201 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)	2741878118422142669	0 30 54 98 120 128 134 162 260 288 294 302 324 368 392 422	-1278572654532
TPT(14)	2741878165375805879	0 2 12 14 90 92 168 170 258 260 288 290 390 392	-1231618991322
SPT(16)	2741878724344599709	0 34 48 70 84 102 112 114 148 150 160 178 192 214 228 262	-672650197492
SPT(16)	2741878818848540177	0 2 20 56 132 146 182 186 200 204 240 254 330 366 384 386	-578146257024
STPT(10)	2741878957016193341	0 2 6 8 48 50 90 92 96 98	-439978603860
SPT(16)	2741879372965340219	0 2 14 24 42 128 152 164 198 210 234 320 338 348 360 362	-24029456982
STPT(10)	2741879526027581867	0 2 42 44 72 74 102 104 144 146	129032784666
SPT(16)	2741879840262551077	0 6 22 40 66 90 96 102 154 160 166 190 216 234 250 256	443267753876
STPT(12)	2741879924153720477	0 2 12 14 30 32 54 56 72 74 84 86	527158923276
TPT(14)	2741880058805630861	0 2 18 20 30 32 60 62 96 98 108 110 156 158	661810833660
SPT(16)	2741880248368034611	0 10 22 90 102 112 120 186 322 388 396 406 418 486 498 508	851373237410