Prime p₀= 1273555304806416017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: HenkM
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1273553926196633729	0 8 48 50 74 92 98 110 162 174 180 198 222 224 264 272	-1378609782288
STPT(10)	1273554723165489509	0 2 42 44 90 92 138 140 180 182	-581640926508
SPT(16)	1273554965244566621	0 8 108 168 182 210 302 320 390 408 500 528 542 602 702 710	-339561849396
STPT(10)	1273555167855645527	0 2 30 32 72 74 114 116 144 146	-136950770490
SPT(16)	1273555201578189559	0 52 64 82 94 130 138 142 150 154 162 198 210 228 240 292	-103228226458
SPT(16)	1273555244088147281	0 18 30 32 50 60 78 86 162 170 188 198 216 218 230 248	-60718268736
TPT(14)	1273555618015946141	0 2 6 8 48 50 120 122 126 128 156 158 186 188	313209530124
TPT(14)	1273556339891419487	0 2 24 26 54 56 114 116 180 182 234 236 252 254	1035085003470
SPT(16)	1273556444026272533	0 18 84 98 114 116 140 194 210 264 288 290 306 320 386 404	1139219856516
STPT(10)	1273556561942384969	0 2 18 20 30 32 42 44 60 62	1257135968952
STPT(10)	1273556909195321207	0 2 30 32 72 74 114 116 144 146	1604388905190