Prime p₀= 742515799287286691 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: Theadalus
db: batch=73, k=10, 2 4 2 10 2

TPT(14)	742514048696991719	0 2 42 44 108 110 120 122 192 194 198 200 288 290	-1750590294972
STPT(10)	742514236882258829	0 2 18 20 30 32 42 44 60 62	-1562405027862
SPT(16)	742514426728536799	0 52 54 72 78 108 112 120 142 150 154 184 190 208 210 262	-1372558749892
SPT(20)	742515028981049153	0 18 30 60 74 86 114 120 168 228 296 356 404 410 438 450 464 494 506 524	-770306237538
STPT(10)	742515284560945667	0 2 90 92 102 104 114 116 204 206	-514726341024
TPT(14)	742515436138200287	0 2 90 92 210 212 222 224 252 254 264 266 300 302	-363149086404
STPT(10)	742515843626904701	0 2 6 8 48 50 90 92 96 98	44339618010
STPT(10)	742516013313659279	0 2 30 32 60 62 90 92 120 122	214026372588
SPT(16)	742516365604718659	0 28 108 154 210 238 240 268 294 322 324 352 408 454 534 562	566317431968
SPT(16)	742516405178936957	0 24 44 74 90 104 126 140 150 164 186 200 216 246 266 290	605891650266
SPT(16)	742516770083941189	0 12 28 30 42 64 84 120 172 208 228 250 262 264 280 292	970796654498