Prime p₀= 726774890333321897 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: schoussi
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	726773551435568237	0 2 12 14 42 44 72 74 84 86	-1338897753660
SPT(16)	726773686898095391	0 48 86 102 120 200 206 218 240 252 258 338 356 372 410 458	-1203435226506
STPT(10)	726773783720133839	0 2 18 20 30 32 42 44 60 62	-1106613188058
SPT(16)	726774017031157889	0 14 24 50 80 84 122 162 170 210 248 252 282 308 318 332	-873302164008
STPT(10)	726774269078987807	0 2 60 62 72 74 84 86 144 146	-621254334090
SPT(16)	726774485135265431	0 36 50 56 78 90 120 170 228 278 308 320 342 348 362 398	-405198056466
SPT(16)	726775160475152027	0 42 56 66 92 140 156 162 170 176 192 240 266 276 290 332	270141830130
SPT(16)	726775446791485411	0 6 12 22 36 40 42 46 126 130 132 136 150 160 166 172	556458163514
SPT(16)	726775799746162799	0 42 54 78 90 120 132 164 318 350 362 392 404 428 440 482	909412840902
SPT(16)	726775830880584773	0 30 78 96 98 110 114 120 134 140 144 156 158 176 224 254	940547262876
SPT(16)	726775844872371169	0 30 52 94 108 120 124 144 148 168 172 184 198 240 262 292	954539049272