Prime p₀= 230688838457999291 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: davidBAM
db: batch=69, k=10, 2 64 2 70 2

SPT(14)	230688752683612241	0 6 42 68 98 132 168 200 236 270 300 326 362 368	-85774387050
SPT(14)	230688764781585751	0 18 42 102 112 132 168 202 238 258 268 328 352 370	-73676413540
TPT(12)	230688767131484927	0 2 102 104 180 182 222 224 270 272 282 284	-71326514364
SPT(14)	230688787446281911	0 36 82 90 96 112 120 292 300 316 322 330 376 412	-51011717380
SPT(14)	230688803979385793	0 86 90 116 126 144 150 164 170 188 198 224 228 314	-34478613498
SPT(14)	230688822359078549	0 44 50 72 90 92 134 138 180 182 200 222 228 272	-16098920742
TPT(12)	230688875609350139	0 2 18 20 48 50 120 122 210 212 288 290	37151350848
SPT(14)	230688888710001971	0 8 90 132 146 168 198 200 230 252 266 308 390 398	50252002680
TPT(12)	230688891419332637	0 2 12 14 30 32 54 56 90 92 102 104	52961333346
SPT(14)	230688895212397373	0 24 36 90 104 156 170 174 188 240 254 308 320 344	56754398082
STPT(10)	230688900752725169	0 2 18 20 30 32 42 44 60 62	62294725878