Prime p₀= 2339717778534247217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=81, k=10, 2 28 2 10 2

SPT(18)	2339716631386899841	0 16 42 46 52 60 72 88 118 150 180 196 208 216 222 226 252 268	-1147147347376
STPT(10)	2339716644109363109	0 2 42 44 90 92 138 140 180 182	-1134424884108
SPT(16)	2339716815598833211	0 10 52 76 78 90 106 126 142 162 178 190 192 216 258 268	-962935414006
STPT(10)	2339716960023544859	0 2 18 20 30 32 42 44 60 62	-818510702358
TPT(14)	2339717563131139337	0 2 144 146 150 152 180 182 210 212 264 266 312 314	-215403107880
SPT(16)	2339717660590246399	0 12 40 52 60 78 82 112 138 168 172 190 198 210 238 250	-117944000818
SPT(16)	2339717795429563063	0 28 120 138 154 160 186 228 316 358 384 390 406 424 516 544	16895315846
TPT(14)	2339717962509353609	0 2 78 80 108 110 198 200 210 212 240 242 252 254	183975106392
TPT(14)	2339718032452804007	0 2 144 146 222 224 240 242 252 254 312 314 342 344	253918556790
TPT(14)	2339718058656536489	0 2 42 44 192 194 198 200 222 224 282 284 318 320	280122289272
SPT(16)	2339718242077716953	0 6 14 18 50 56 68 90 104 126 138 144 176 180 188 194	463543469736