Prime p₀= 2689378022939888039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2689375865632051493	0 24 50 120 126 140 200 216 218 234 294 308 314 384 410 434	-2157307836546
SPT(16)	2689375958168069743	0 6 28 34 48 60 100 108 136 144 184 196 210 216 238 244	-2064771818296
STPT(10)	2689375980299228117	0 2 42 44 72 74 102 104 144 146	-2042640659922
SPT(16)	2689376093389893079	0 22 54 60 112 160 228 250 252 274 342 390 442 448 480 502	-1929549994960
SPT(16)	2689377072047878741	0 22 28 46 70 106 112 148 180 216 222 258 282 300 306 328	-950892009298
SPT(16)	2689377209595829229	0 2 54 60 122 162 170 180 182 192 200 240 302 308 360 362	-813344058810
SPT(16)	2689378098572222887	0 40 82 90 124 144 180 190 264 274 310 330 364 372 414 454	75632334848
STPT(10)	2689378106560587329	0 2 18 20 30 32 42 44 60 62	83620699290
STPT(10)	2689378646926646837	0 2 30 32 42 44 54 56 84 86	623986758798
STPT(10)	2689378965244906577	0 2 30 32 42 44 54 56 84 86	942305018538
STPT(10)	2689379091235613471	0 2 30 32 78 80 126 128 156 158	1068295725432