Prime p₀= 2553011622424492259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2553010709925215167	0 6 40 52 70 84 112 190 276 354 382 396 414 426 460 466	-912499277092
SPT(16)	2553010836279393953	0 24 36 68 116 150 170 194 210 234 254 288 336 368 380 404	-786145098306
SPT(16)	2553010927289860123	0 30 60 88 108 130 144 160 168 184 198 220 240 268 298 328	-695134632136
STPT(10)	2553010932390385667	0 2 54 56 72 74 90 92 144 146	-690034106592
STPT(10)	2553011302713861641	0 2 36 38 78 80 120 122 156 158	-319710630618
TPT(14)	2553011581029379241	0 2 36 38 120 122 330 332 456 458 540 542 618 620	-41395113018
STPT(10)	2553011756447921939	0 2 18 20 30 32 42 44 60 62	134023429680
SPT(16)	2553011774090700581	0 26 86 126 152 176 180 192 266 278 282 306 332 372 432 458	151666208322
STPT(10)	2553011842977292481	0 2 36 38 78 80 120 122 156 158	220552800222
SPT(16)	2553011931681594797	0 44 56 72 102 152 182 222 254 294 324 374 404 420 432 476	309257102538
TPT(14)	2553012004125240881	0 2 60 62 66 68 108 110 150 152 156 158 168 170	381700748622