Prime p₀= 2678664774490478099 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2678663180266798199	0 2 62 90 138 164 170 180 182 192 198 224 272 300 360 362	-1594223679900
STPT(10)	2678663424143908319	0 2 18 20 30 32 42 44 60 62	-1350346569780
STPT(10)	2678663445931925339	0 2 18 20 30 32 42 44 60 62	-1328558552760
SPT(16)	2678663485474086403	0 10 28 46 60 66 118 130 174 186 238 244 258 276 294 304	-1289016391696
SPT(16)	2678664007017329911	0 46 52 82 108 112 118 126 142 150 156 160 186 216 222 268	-767473148188
STPT(10)	2678664176302814801	0 2 6 8 48 50 90 92 96 98	-598187663298
STPT(10)	2678664974230507727	0 2 54 56 192 194 330 332 384 386	199740029628
STPT(10)	2678665081299981227	0 2 24 26 42 44 60 62 84 86	306809503128
SPT(16)	2678665180839650567	0 96 102 104 144 146 174 180 236 242 270 272 312 314 320 416	406349172468
STPT(12)	2678665200880090757	0 2 24 26 30 32 54 56 60 62 84 86	426389612658
STPT(10)	2678665216809591431	0 2 36 38 78 80 120 122 156 158	442319113332