Prime p₀= 2504178886150966667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2504175080982510253	0 30 40 58 70 96 120 148 156 184 208 234 246 264 274 304	-3805168456414
SPT(16)	2504176658299337969	0 30 68 72 120 128 134 188 204 258 264 272 320 324 362 392	-2227851628698
SPT(16)	2504178105646239331	0 36 66 70 72 78 130 136 162 168 220 226 228 232 262 298	-780504727336
STPT(10)	2504178175580140427	0 2 30 32 42 44 54 56 84 86	-710570826240
TPT(14)	2504178362984019341	0 2 6 8 90 92 168 170 180 182 228 230 240 242	-523166947326
TPT(14)	2504178807559337267	0 2 102 104 144 146 204 206 240 242 294 296 300 302	-78591629400
SPT(16)	2504178914746595591	0 26 36 50 60 92 110 128 150 168 186 218 228 242 252 278	28595628924
SPT(16)	2504179916683494911	0 2 36 38 86 98 102 116 162 176 180 192 240 242 276 278	1030532528244
SPT(16)	2504180393827351541	0 8 30 38 80 98 108 150 170 212 222 240 282 290 312 320	1507676384874
SPT(16)	2504180507946926513	0 26 68 80 90 116 126 134 150 158 168 194 204 216 258 284	1621795959846
STPT(10)	2504180830315003751	0 2 6 8 18 20 30 32 36 38	1944164037084