Prime p₀= 1232646217328606147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: amazing
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1232645355532010099	0 42 54 80 92 164 192 194 210 212 240 312 324 350 362 404	-861796596048
STPT(10)	1232645384307846497	0 2 72 74 102 104 132 134 204 206	-833020759650
SPT(16)	1232645417252938433	0 6 20 50 68 90 108 150 206 248 266 288 306 336 350 356	-800075667714
SPT(16)	1232645417356454471	0 38 42 102 110 116 126 152 156 182 192 198 206 266 270 308	-799972151676
STPT(10)	1232645507564217359	0 2 18 20 30 32 42 44 60 62	-709764388788
TPT(14)	1232645649496116017	0 2 24 26 54 56 114 116 120 122 162 164 192 194	-567832490130
SPT(16)	1232646292189872853	0 18 34 46 90 118 156 178 216 238 276 304 348 360 376 394	74861266706
TPT(14)	1232646892338641651	0 2 18 20 156 158 216 218 258 260 306 308 378 380	675010035504
STPT(10)	1232646938249104949	0 2 18 20 30 32 42 44 60 62	720920498802
SPT(16)	1232647226917328399	0 24 30 38 60 72 108 114 218 224 260 272 294 302 308 332	1009588722252
SPT(16)	1232647266813899281	0 42 72 100 112 120 130 142 156 168 178 186 198 226 256 298	1049485293134