Prime p₀= 130611702861541007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: emoga
db: batch=67, k=10, 2 10 2 28 2

SPT(14)	130611662562163729	0 42 48 52 58 60 72 88 100 102 108 112 118 160	-40299377278
SPT(16)	130611667799810419	0 22 34 78 88 132 138 144 148 154 160 204 214 258 270 292	-35061730588
SPT(14)	130611676682538829	0 4 24 52 82 112 130 144 162 192 222 250 270 274	-26179002178
SPT(14)	130611681311599361	0 2 30 38 42 60 80 108 128 146 150 158 186 188	-21549941646
SPT(14)	130611684989760269	0 50 60 78 92 138 150 152 164 210 224 242 252 302	-17871780738
TPT(12)	130611689556147131	0 2 48 50 78 80 90 92 96 98 180 182	-13305393876
SPT(14)	130611703240967213	0 14 20 80 144 174 194 264 284 314 378 438 444 458	379426206
SPT(14)	130611713299240709	0 2 20 42 50 60 72 158 170 180 188 210 228 230	10437699702
SPT(14)	130611713309281723	0 60 78 120 190 210 234 310 334 354 424 466 484 544	10447740716
SPT(14)	130611724249786877	0 12 26 62 80 110 114 182 186 216 234 270 284 296	21388245870
SPT(14)	130611732882082343	0 14 20 36 56 90 110 114 134 168 188 204 210 224	30020541336