Prime p₀= 2585290769156161457 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: arkiss
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2585289249265941137	0 2 30 44 56 84 126 132 134 140 182 210 222 236 264 266	-1519890220320
STPT(10)	2585289653882490857	0 2 30 32 42 44 54 56 84 86	-1115273670600
SPT(20)	2585290078113807859	0 18 28 70 72 82 90 100 160 198 214 252 312 322 330 340 342 384 394 412	-691042353598
SPT(13)	2585290133526081257	0 30 66 72 150 210 216 222 282 360 366 402 432	-635630080200
TPT(14)	2585290630883335511	0 2 6 8 138 140 210 212 246 248 336 338 528 530	-138272825946
SPT(16)	2585290690462228057	0 36 40 66 70 72 112 126 136 150 190 192 196 222 226 262	-78693933400
SPT(16)	2585290838545203227	0 6 14 20 50 54 74 96 140 162 182 186 216 222 230 236	69389041770
STPT(10)	2585290887819435611	0 2 6 8 48 50 90 92 96 98	118663274154
SPT(16)	2585290937862759859	0 22 42 54 94 124 144 154 228 238 258 288 328 340 360 382	168706598402
STPT(10)	2585290945145071871	0 2 36 38 78 80 120 122 156 158	175988910414
TPT(14)	2585291442792621569	0 2 12 14 138 140 210 212 240 242 312 314 318 320	673636460112