Prime p₀= 2599677462995168987 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: conf [MM]
db: batch=82, k=10, 2 10 2 58 2

STPT(10)	2599676030873919467	0 2 30 32 42 44 54 56 84 86	-1432121249520
STPT(10)	2599676337182017517	0 2 30 32 72 74 114 116 144 146	-1125813151470
STPT(10)	2599676433535600007	0 2 30 32 42 44 54 56 84 86	-1029459568980
TPT(14)	2599676683782946487	0 2 42 44 144 146 150 152 210 212 222 224 234 236	-779212222500
STPT(10)	2599676789025900629	0 2 42 44 90 92 138 140 180 182	-673969268358
STPT(10)	2599677029096993927	0 2 54 56 72 74 90 92 144 146	-433898175060
SPT(16)	2599677538899810179	0 38 48 68 114 158 174 194 228 248 264 308 354 374 384 422	75904641192
SPT(16)	2599677645585329941	0 10 16 48 52 66 76 78 100 102 112 126 130 162 168 178	182590160954
SPT(16)	2599677842398286329	0 18 28 54 78 84 120 130 162 172 208 214 238 264 274 292	379403117342
SPT(16)	2599677849771903371	0 20 60 78 80 102 116 122 126 132 146 168 170 188 228 248	386776734384
STPT(10)	2599678201093489721	0 2 6 8 18 20 30 32 36 38	738098320734