Prime p₀= 2258587313229226937 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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=81, k=10, 2 40 2 28 2

SPT(16)	2258586657220255693	0 24 60 70 78 84 88 100 114 126 130 136 144 154 190 214	-656008971244
STPT(10)	2258586661433555597	0 2 42 44 72 74 102 104 144 146	-651795671340
SPT(16)	2258586762261156653	0 8 14 30 50 98 138 140 174 176 216 264 284 300 306 314	-550968070284
STPT(10)	2258586997239216701	0 2 30 32 78 80 126 128 156 158	-315990010236
SPT(16)	2258587087182334991	0 8 26 68 98 132 146 188 210 252 266 300 330 372 390 398	-226046891946
STPT(10)	2258587284754915727	0 2 30 32 42 44 54 56 84 86	-28474311210
SPT(13)	2258587521838857221	0 12 18 138 150 180 270 360 390 402 522 528 540	208609630284
SPT(16)	2258587620143498057	0 42 50 102 122 126 156 186 266 296 326 330 350 402 410 452	306914271120
SPT(16)	2258588050763823517	0 22 34 40 120 154 202 222 232 252 300 334 414 420 432 454	737534596580
SPT(16)	2258588187758212319	0 8 20 42 62 72 78 92 210 224 230 240 260 282 294 302	874528985382
STPT(10)	2258588240050594601	0 2 30 32 120 122 210 212 240 242	926821367664