Prime p₀= 1314000808422010127 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1313999454505965329	0 12 42 62 104 114 144 182 342 380 410 420 462 482 512 524	-1353916044798
SPT(16)	1313999800102064893	0 4 48 94 108 124 178 244 270 336 390 406 420 466 510 514	-1008319945234
STPT(10)	1314000257410390931	0 2 78 80 108 110 138 140 216 218	-551011619196
STPT(10)	1314000266671478999	0 2 18 20 30 32 42 44 60 62	-541750531128
SPT(16)	1314000508097872241	0 8 66 78 80 92 126 128 210 212 246 258 260 272 330 338	-300324137886
SPT(16)	1314000573090322147	0 10 24 30 76 90 136 214 216 294 340 354 400 406 420 430	-235331687980
SPT(16)	1314001201134421817	0 20 26 54 56 62 84 86 90 92 114 120 122 150 156 176	392712411690
SPT(20)	1314001387386229901	0 2 6 8 50 72 78 86 90 102 116 128 132 140 146 168 210 212 216 218	578964219774
STPT(10)	1314001530108265907	0 2 30 32 42 44 54 56 84 86	721686255780
SPT(16)	1314001768952622817	0 4 6 22 36 46 82 112 174 204 240 250 264 280 282 286	960530612690
SPT(16)	1314001798100672711	0 2 20 42 60 66 72 116 132 176 182 188 206 228 246 248	989678662584