Prime p₀= 2810553400841890787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2810551318468296313	0 16 66 70 78 130 148 150 184 186 204 256 264 268 318 334	-2082373594474
STPT(10)	2810551649594489789	0 2 18 20 30 32 42 44 60 62	-1751247400998
STPT(10)	2810551855606371971	0 2 6 8 48 50 90 92 96 98	-1545235518816
TPT(14)	2810552463872431259	0 2 18 20 42 44 48 50 78 80 90 92 102 104	-936969459528
TPT(14)	2810553153632396477	0 2 30 32 54 56 282 284 294 296 312 314 390 392	-247209494310
SPT(16)	2810553187193019029	0 14 38 84 102 150 164 182 300 318 332 380 398 444 468 482	-213648871758
SPT(16)	2810553496035682777	0 22 66 90 102 132 154 186 220 252 274 304 316 340 384 406	95193791990
TPT(14)	2810553588341666267	0 2 72 74 102 104 144 146 174 176 204 206 240 242	187499775480
SPT(16)	2810553670222021379	0 8 18 108 122 144 194 210 302 318 368 390 404 494 504 512	269380130592
SPT(16)	2810554105403731619	0 50 60 62 174 182 212 234 308 330 360 368 480 482 492 542	704561840832
SPT(16)	2810554153015462489	0 4 10 34 72 132 154 160 234 240 262 322 360 384 390 394	752173571702