Prime p₀= 1368389432949441569 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=77, k=10, 2 40 2 16 2

SPT(16)	1368388130558331823	0 40 58 70 94 96 100 120 184 204 208 210 234 246 264 304	-1302391109746
STPT(10)	1368388312888044629	0 2 18 20 30 32 42 44 60 62	-1120061396940
SPT(16)	1368388465390487603	0 18 38 90 128 144 150 168 170 188 194 210 248 300 320 338	-967558953966
STPT(10)	1368388647302867189	0 2 18 20 30 32 42 44 60 62	-785646574380
SPT(16)	1368389252069837629	0 4 34 42 52 60 112 118 144 150 202 210 220 228 258 262	-180879603940
SPT(16)	1368389430916984339	0 30 34 40 54 100 120 132 142 154 174 220 234 240 244 274	-2032457230
SPT(16)	1368389774839377967	0 10 24 46 66 106 150 154 162 166 210 250 270 292 306 316	341889936398
SPT(16)	1368389919943439903	0 26 54 56 80 98 110 116 138 144 156 174 198 200 228 254	486993998334
SPT(16)	1368390129438910229	0 2 54 78 80 98 120 138 194 212 234 252 254 278 330 332	696489468660
SPT(16)	1368390592392130271	0 6 12 20 26 32 38 122 126 210 216 222 228 236 242 248	1159442688702
SPT(16)	1368390690692459879	0 8 12 42 48 60 74 102 170 198 212 224 230 260 264 272	1257743018310