Prime p₀= 996847128008992331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	996845514642674087	0 14 26 44 80 140 146 150 230 234 240 300 336 354 366 380	-1613366318244
TPT(14)	996845944340572211	0 2 18 20 138 140 156 158 210 212 216 218 228 230	-1183668420120
TPT(14)	996846309978896567	0 2 12 14 54 56 84 86 114 116 192 194 210 212	-818030095764
SPT(16)	996846910880731297	0 4 22 34 52 72 112 142 162 192 232 252 270 282 300 304	-217128261034
STPT(10)	996846935742703139	0 2 48 50 90 92 132 134 180 182	-192266289192
SPT(16)	996846938881608629	0 14 68 78 80 84 90 122 150 182 188 192 194 204 258 272	-189127383702
STPT(10)	996847136742288509	0 2 18 20 30 32 42 44 60 62	8733296178
SPT(16)	996847449744537161	0 8 36 42 68 96 102 108 110 116 122 150 176 182 210 218	321735544830
STPT(10)	996847665184114661	0 2 30 32 78 80 126 128 156 158	537175122330
STPT(10)	996847702651562987	0 2 30 32 42 44 54 56 84 86	574642570656
SPT(16)	996847877155298893	0 6 18 30 40 46 90 96 118 124 168 174 184 196 208 214	749146306562