Prime p₀= 2113755578126568977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2113754397780757997	0 2 42 44 72 74 102 104 144 146	-1180345810980
STPT(10)	2113754524120179461	0 2 96 98 138 140 180 182 276 278	-1054006389516
SPT(16)	2113754943319941473	0 54 56 96 110 116 144 168 206 230 258 264 278 318 320 374	-634806627504
SPT(16)	2113755161125353463	0 6 34 70 78 138 144 154 180 190 196 256 264 300 328 334	-417001215514
TPT(14)	2113755267009344081	0 2 30 32 48 50 60 62 90 92 186 188 198 200	-311117224896
TPT(14)	2113755426613456259	0 2 60 62 138 140 168 170 240 242 252 254 282 284	-151513112718
SPT(16)	2113756248599294749	0 22 24 28 48 58 60 64 198 202 204 214 234 238 240 262	670472725772
TPT(14)	2113756264345797257	0 2 84 86 90 92 114 116 174 176 300 302 312 314	686219228280
STPT(10)	2113756883513070611	0 2 6 8 48 50 90 92 96 98	1305386501634
TPT(14)	2113756935981758531	0 2 78 80 90 92 120 122 168 170 258 260 336 338	1357855189554
SPT(16)	2113757035962000991	0 16 28 46 90 130 148 172 216 240 258 298 342 360 372 388	1457835432014