Prime p₀= 3002564793038856047 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-FC] hl
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	3002561924296163237	0 12 26 30 42 50 72 116 120 164 186 194 206 210 224 236	-2868742692810
SPT(16)	3002562033671846411	0 38 80 90 120 132 162 192 206 236 266 278 308 318 360 398	-2759367009636
SPT(16)	3002562643932244429	0 4 12 58 60 70 78 144 148 214 222 232 234 280 288 292	-2149106611618
TPT(14)	3002563019232236069	0 2 42 44 78 80 150 152 240 242 252 254 462 464	-1773806619978
STPT(10)	3002563367265703247	0 2 30 32 42 44 54 56 84 86	-1425773152800
TPT(14)	3002563987366019309	0 2 120 122 258 260 510 512 522 524 582 584 618 620	-805672836738
SPT(20)	3002565558361496329	0 4 10 28 90 112 132 168 178 192 220 234 244 280 300 322 384 402 408 412	765322640282
SPT(13)	3002565879773435953	0 6 54 66 96 120 150 180 204 234 246 294 300	1086734579906
TPT(14)	3002566005916859087	0 2 54 56 192 194 222 224 324 326 390 392 444 446	1212878003040
SPT(16)	3002566245260190677	0 6 14 54 60 84 126 146 180 200 242 266 272 312 320 326	1452221334630
STPT(10)	3002566252244801897	0 2 54 56 72 74 90 92 144 146	1459205945850