Prime p₀= 2591404390020267317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2591403470029919159	0 2 18 20 30 32 42 44 60 62	-919990348158
SPT(16)	2591403592871486051	0 32 72 96 140 150 156 158 330 332 338 348 392 416 456 488	-797148781266
SPT(16)	2591403753333648601	0 22 66 78 88 126 168 216 232 280 322 360 370 382 426 448	-636686618716
STPT(10)	2591403874718398709	0 2 12 14 30 32 48 50 60 62	-515301868608
SPT(16)	2591404116947795137	0 16 46 60 102 112 130 162 184 216 234 244 286 300 330 346	-273072472180
SPT(16)	2591404253726196833	0 8 60 114 134 158 176 200 204 228 246 270 290 344 396 404	-136294070484
SPT(16)	2591404494057709639	0 4 24 28 78 82 102 114 178 190 210 214 264 268 288 292	104037442322
SPT(16)	2591404790112810493	0 30 34 64 70 138 148 174 184 210 220 288 294 324 328 358	400092543176
STPT(10)	2591405242576977257	0 2 54 56 72 74 90 92 144 146	852556709940
STPT(10)	2591405257180099991	0 2 36 38 78 80 120 122 156 158	867159832674
STPT(10)	2591405289096640139	0 2 12 14 30 32 48 50 60 62	899076372822