Prime p₀= 1078758278252400269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Fardringle
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1078757193283809071	0 2 60 62 156 158 180 182 198 200 216 218 240 242	-1084968591198
STPT(10)	1078757193283809227	0 2 24 26 42 44 60 62 84 86	-1084968591042
SPT(16)	1078757672172966343	0 4 6 10 48 60 64 78 136 150 154 166 204 208 210 214	-606079433926
SPT(16)	1078758053550088369	0 34 142 160 162 168 178 220 222 264 274 280 282 300 408 442	-224702311900
SPT(16)	1078758077641825853	0 44 48 56 116 140 150 156 158 164 174 198 258 266 270 314	-200610574416
TPT(14)	1078758260901566657	0 2 12 14 60 62 102 104 192 194 240 242 252 254	-17350833612
STPT(10)	1078758310199737367	0 2 54 56 72 74 90 92 144 146	31947337098
SPT(16)	1078758763984784537	0 14 30 56 92 102 110 144 152 186 194 204 240 266 282 296	485732384268
SPT(16)	1078758767787205651	0 6 40 72 76 132 156 172 180 196 220 276 280 312 346 352	489534805382
STPT(10)	1078759330066072979	0 2 18 20 30 32 42 44 60 62	1051813672710
SPT(16)	1078759438129222181	0 36 38 50 72 138 168 180 248 260 290 356 378 390 392 428	1159876821912