Prime p₀= 2402563814792006321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Rantanplan
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	2402562488266297067	0 2 12 14 42 44 72 74 84 86	-1326525709254
SPT(16)	2402562765419349209	0 8 14 48 102 150 158 188 204 234 242 290 344 378 384 392	-1049372657112
SPT(16)	2402562939917302231	0 28 72 76 132 196 198 258 280 340 342 406 462 466 510 538	-874874704090
SPT(16)	2402563217372622253	0 4 10 24 28 34 54 70 144 160 180 186 190 204 210 214	-597419384068
TPT(14)	2402563779443086109	0 2 42 44 168 170 180 182 240 242 300 302 312 314	-35348920212
STPT(10)	2402563779443086277	0 2 12 14 72 74 132 134 144 146	-35348920044
SPT(16)	2402563825497654359	0 2 8 14 48 72 78 84 128 134 140 164 198 204 210 212	10705648038
SPT(16)	2402564310794766733	0 10 16 28 30 58 88 94 150 156 186 214 216 228 234 244	496002760412
STPT(10)	2402564449922018279	0 2 18 20 30 32 42 44 60 62	635130011958
STPT(10)	2402564642758252277	0 2 30 32 42 44 54 56 84 86	827966245956
STPT(10)	2402564656363473629	0 2 18 20 30 32 42 44 60 62	841571467308