Prime p₀= 278890949195181929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Ralfy
db: batch=69, k=10, 2 10 2 76 2

SPT(14)	278890919414615423	0 24 80 126 128 144 146 168 170 186 188 234 290 314	-29780566506
SPT(14)	278890923261715339	0 28 64 82 84 94 102 130 138 148 150 168 204 232	-25933466590
SPT(14)	278890932590531453	0 8 20 24 48 78 80 108 110 140 164 168 180 188	-16604650476
SPT(14)	278890935044875339	0 60 88 90 102 112 118 132 138 148 160 162 190 250	-14150306590
SPT(14)	278890936837080661	0 22 36 42 70 88 106 192 210 228 256 262 276 298	-12358101268
SPT(14)	278890942645387603	0 4 6 10 24 46 76 84 114 136 150 154 156 160	-6549794326
SPT(14)	278890984125932119	0 40 60 88 112 138 148 162 172 198 222 250 270 310	34930750190
TPT(12)	278890985772415127	0 2 42 44 114 116 144 146 222 224 234 236	36577233198
SPT(14)	278890987201343999	0 14 32 62 72 98 102 140 144 170 180 210 228 242	38006162070
SPT(14)	278890995277583153	0 14 48 86 98 164 168 176 180 246 258 296 330 344	46082401224
SPT(14)	278890995492545803	0 54 66 90 96 198 208 276 286 388 394 418 430 484	46297363874