Prime p₀= 976622581073421977 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: stoneageman
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	976621644736802411	0 2 6 8 48 50 90 92 96 98	-936336619566
SPT(16)	976621784059745347	0 12 40 90 96 150 186 192 244 250 286 340 346 396 424 436	-797013676630
SPT(16)	976621898188783669	0 28 70 88 130 168 228 280 348 400 460 498 540 558 600 628	-682884638308
SPT(16)	976621907092586717	0 20 44 56 102 114 156 204 392 440 482 494 540 552 576 596	-673980835260
STPT(10)	976621967648801519	0 2 42 44 90 92 138 140 180 182	-613424620458
SPT(16)	976622132560389979	0 10 34 52 54 70 82 108 154 180 192 208 210 228 252 262	-448513031998
SPT(16)	976622739289763017	0 4 34 36 124 180 210 226 270 286 316 372 460 462 492 496	158216341040
STPT(10)	976622747651174681	0 2 36 38 78 80 120 122 156 158	166577752704
STPT(10)	976623226738740179	0 2 18 20 30 32 42 44 60 62	645665318202
TPT(14)	976623241091903549	0 2 18 20 72 74 102 104 198 200 210 212 240 242	660018481572
SPT(16)	976623334396987999	0 12 24 28 30 54 78 124 138 184 208 232 234 238 250 262	753323566022