Prime p₀= 2658997350424111997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2658995655775581481	0 22 28 46 58 60 76 78 100 102 118 120 132 150 156 178	-1694648530516
STPT(10)	2658995870735782841	0 2 6 8 48 50 90 92 96 98	-1479688329156
SPT(16)	2658995981457188507	0 12 14 24 30 56 114 116 120 122 180 206 212 222 224 236	-1368966923490
SPT(16)	2658996358682868047	0 2 26 60 96 116 152 174 182 204 240 260 296 330 354 356	-991741243950
SPT(16)	2658997120475181127	0 4 66 90 94 136 144 166 174 196 204 246 250 274 336 340	-229948930870
TPT(16)	2658997219063967531	0 2 66 68 96 98 156 158 180 182 198 200 318 320 330 332	-131360144466
STPT(10)	2658997493667673979	0 2 18 20 30 32 42 44 60 62	143243561982
STPT(10)	2658997667919837887	0 2 30 32 42 44 54 56 84 86	317495725890
SPT(16)	2658997789916043493	0 30 54 84 108 130 154 178 186 210 234 256 280 310 334 364	439491931496
SPT(16)	2658997831702418279	0 8 14 24 50 90 108 120 152 164 182 222 248 258 264 272	481278306282
STPT(10)	2658997958063625317	0 2 42 44 72 74 102 104 144 146	607639513320