Prime p₀= 956789597387694779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 40 2 16 2

STPT(10)	956787675743778677	0 2 30 32 42 44 54 56 84 86	-1921643916102
STPT(10)	956787894904104617	0 2 54 56 72 74 90 92 144 146	-1702483590162
STPT(10)	956788818171811367	0 2 12 14 42 44 72 74 84 86	-779215883412
SPT(16)	956789005212715009	0 12 58 70 112 142 144 174 178 208 210 240 282 294 340 352	-592174979770
TPT(14)	956789134920888587	0 2 84 86 162 164 192 194 222 224 390 392 414 416	-462466806192
SPT(16)	956789279393250517	0 36 120 126 144 172 232 240 256 264 324 352 370 376 460 496	-317994444262
SPT(16)	956789693561513953	0 4 40 58 60 70 78 94 114 130 138 148 150 168 204 208	96173819174
SPT(13)	956789895340228441	0 18 30 60 66 90 108 126 150 156 186 198 216	297952533662
STPT(10)	956789966711667371	0 2 6 8 48 50 90 92 96 98	369323972592
SPT(16)	956790416315331709	0 24 40 94 102 108 112 130 132 150 154 160 168 222 238 262	818927636930
STPT(10)	956790525546520517	0 2 30 32 72 74 114 116 144 146	928158825738