Prime p₀= 1236316232953859579 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1236315668767929689	0 2 18 20 30 32 42 44 60 62	-564185929890
SPT(16)	1236315785629110203	0 44 54 80 90 138 146 150 194 198 206 254 264 290 300 344	-447324749376
SPT(16)	1236315802615787941	0 12 28 66 82 90 120 132 166 178 208 216 232 270 286 298	-430338071638
STPT(10)	1236315844153622129	0 2 18 20 30 32 42 44 60 62	-388800237450
SPT(16)	1236315933202784723	0 44 78 86 98 120 128 156 308 336 344 366 378 386 420 464	-299751074856
SPT(16)	1236316038035908469	0 2 120 150 162 164 188 198 224 234 258 260 272 302 420 422	-194917951110
SPT(16)	1236316631128374143	0 18 96 140 176 186 188 194 210 216 218 228 264 308 386 404	398174514564
STPT(10)	1236316632985437317	0 2 12 14 42 44 72 74 84 86	400031577738
SPT(18)	1236316735582299113	0 30 74 120 164 198 210 254 288 326 360 404 416 450 494 540 584 614	502628439534
TPT(14)	1236317179129257497	0 2 24 26 60 62 150 152 192 194 264 266 354 356	946175397918
SPT(16)	1236317323977189199	0 18 30 48 58 70 72 88 114 130 132 144 154 172 184 202	1091023329620