Prime p₀= 2589181891972075637 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: Rantanplan
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2589180570138343627	0 10 64 66 90 130 136 174 232 270 276 316 340 342 396 406	-1321833732010
SPT(16)	2589180620637127351	0 28 46 60 70 102 108 160 168 220 226 258 268 282 300 328	-1271334948286
STPT(10)	2589181153809929849	0 2 42 44 60 62 78 80 120 122	-738162145788
SPT(16)	2589181533114514519	0 12 42 48 88 142 168 184 198 214 240 294 334 340 370 382	-358857561118
STPT(10)	2589181568046357041	0 2 6 8 18 20 30 32 36 38	-323925718596
TPT(14)	2589181666018659287	0 2 42 44 132 134 174 176 210 212 252 254 300 302	-225953416350
SPT(16)	2589181925844439879	0 10 18 64 78 84 118 130 132 144 178 184 198 244 252 262	33872364242
SPT(16)	2589182139315340507	0 52 70 100 112 120 162 222 250 310 352 360 372 402 420 472	247343264870
SPT(16)	2589182283566613407	0 2 12 14 30 32 54 116 150 212 234 236 252 254 264 266	391594537770
STPT(10)	2589182319503829191	0 2 6 8 18 20 30 32 36 38	427531753554
STPT(10)	2589182612610578351	0 2 6 8 48 50 90 92 96 98	720638502714