Prime p₀= 1120114674747443129 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1120113410429968147	0 12 30 34 96 100 124 130 156 162 186 190 252 256 274 286	-1264317474982
TPT(14)	1120113665775116651	0 2 6 8 78 80 90 92 156 158 168 170 456 458	-1008972326478
SPT(16)	1120113895138140211	0 40 70 82 108 130 192 196 222 226 288 310 336 348 378 418	-779609302918
STPT(10)	1120114258799228969	0 2 48 50 90 92 132 134 180 182	-415948214160
TPT(14)	1120114357296652871	0 2 18 20 30 32 60 62 96 98 150 152 180 182	-317450790258
STPT(10)	1120114388012643797	0 2 42 44 72 74 102 104 144 146	-286734799332
STPT(10)	1120114851266479421	0 2 6 8 108 110 210 212 216 218	176519036292
SPT(16)	1120114920896465041	0 78 118 120 162 228 270 282 286 298 340 406 448 450 490 568	246149021912
STPT(10)	1120115593860710801	0 2 6 8 48 50 90 92 96 98	919113267672
SPT(18)	1120115701785235391	0 8 42 90 92 96 108 132 158 210 236 260 272 276 278 326 360 368	1027037792262
STPT(10)	1120115989071638747	0 2 24 26 42 44 60 62 84 86	1314324195618