Prime p₀= 812430579973429127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: [SG]FX
db: batch=73, k=10, 2 58 2 10 2

SPT(16)	812429642391583063	0 16 28 64 66 84 100 150 154 204 220 238 240 276 288 304	-937581846064
SPT(16)	812429775092629699	0 22 84 88 130 154 178 192 460 474 498 522 564 568 630 652	-804880799428
SPT(16)	812429939722524239	0 12 114 128 138 140 174 180 212 218 252 254 264 278 380 392	-640250904888
STPT(10)	812430215820342011	0 2 6 8 48 50 90 92 96 98	-364153087116
SPT(16)	812430268744704101	0 8 30 42 66 92 98 108 140 150 156 182 206 218 240 248	-311228725026
SPT(16)	812430561334419637	0 12 16 52 54 60 64 82 84 102 106 112 114 150 154 166	-18639009490
TPT(14)	812430585117600149	0 2 30 32 42 44 72 74 180 182 198 200 240 242	5144171022
SPT(16)	812430912842893319	0 68 114 134 152 174 182 192 320 330 338 360 378 398 444 512	332869464192
STPT(10)	812431102138611299	0 2 42 44 120 122 198 200 240 242	522165182172
SPT(16)	812431113781073711	0 12 26 36 78 96 108 122 126 140 152 170 212 222 236 248	533807644584
TPT(14)	812431566970810679	0 2 72 74 102 104 138 140 228 230 252 254 258 260	986997381552