Prime p₀= 2156957535544327721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2156955476285060819	0 2 18 20 30 32 42 44 60 62	-2059259266902
TPT(14)	2156956298396866667	0 2 30 32 42 44 72 74 150 152 162 164 180 182	-1237147461054
SPT(16)	2156956404905836927	0 24 42 52 54 72 82 84 220 222 232 250 252 262 280 304	-1130638490794
SPT(16)	2156956628726044283	0 66 74 80 98 120 168 230 264 326 374 396 414 420 428 494	-906818283438
SPT(16)	2156956758700420727	0 66 102 122 144 150 186 222 254 290 326 332 354 374 410 476	-776843906994
STPT(10)	2156957385859972901	0 2 6 8 18 20 30 32 36 38	-149684354820
STPT(10)	2156957690778890969	0 2 12 14 30 32 48 50 60 62	155234563248
SPT(16)	2156958050509951189	0 4 18 22 30 42 64 70 72 78 100 112 120 124 138 142	514965623468
STPT(10)	2156958202424927579	0 2 18 20 30 32 42 44 60 62	666880599858
SPT(16)	2156958804243672479	0 8 12 30 32 50 92 102 110 120 162 180 182 200 204 212	1268699344758
SPT(16)	2156958941034168547	0 16 24 34 66 106 112 132 184 204 210 250 282 292 300 316	1405489840826