Prime p₀= 996847665184114661 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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 28 2 46 2

SPT(16)	996846910880731297	0 4 22 34 52 72 112 142 162 192 232 252 270 282 300 304	-754303383364
STPT(10)	996846935742703139	0 2 48 50 90 92 132 134 180 182	-729441411522
SPT(16)	996846938881608629	0 14 68 78 80 84 90 122 150 182 188 192 194 204 258 272	-726302506032
STPT(10)	996847128008992331	0 2 36 38 78 80 120 122 156 158	-537175122330
STPT(10)	996847136742288509	0 2 18 20 30 32 42 44 60 62	-528441826152
SPT(16)	996847449744537161	0 8 36 42 68 96 102 108 110 116 122 150 176 182 210 218	-215439577500
STPT(10)	996847702651562987	0 2 30 32 42 44 54 56 84 86	37467448326
SPT(16)	996847877155298893	0 6 18 30 40 46 90 96 118 124 168 174 184 196 208 214	211971184232
SPT(16)	996848153528892983	0 30 54 84 96 120 146 170 174 198 224 248 260 290 314 344	488344778322
SPT(16)	996848259144874229	0 14 62 90 114 150 158 252 290 384 392 428 452 480 528 542	593960759568
TPT(14)	996848279252999681	0 2 6 8 30 32 96 98 180 182 186 188 210 212	614068885020