Prime p₀= 1294464873089656529 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

SPT(16)	1294464233048097361	0 12 60 82 112 126 148 172 186 210 232 246 276 298 346 358	-640041559168
SPT(16)	1294464233873980573	0 10 40 76 108 130 166 196 228 258 294 316 348 384 414 424	-639215675956
STPT(10)	1294464323581254611	0 2 30 32 78 80 126 128 156 158	-549508401918
SPT(16)	1294464351094975339	0 28 30 42 58 82 108 132 160 184 210 234 250 262 264 292	-521994681190
SPT(16)	1294464735270938867	0 44 84 110 116 126 146 186 194 234 254 264 270 296 336 380	-137818717662
SPT(16)	1294464843991225297	0 6 66 76 94 124 172 180 256 264 312 342 360 370 430 436	-29098431232
STPT(10)	1294465078968472247	0 2 12 14 72 74 132 134 144 146	205878815718
SPT(16)	1294465153509500491	0 16 52 72 88 138 180 186 232 238 280 330 346 366 402 418	280419843962
STPT(10)	1294465370971902119	0 2 12 14 90 92 168 170 180 182	497882245590
SPT(20)	1294465769908804979	0 12 38 68 78 80 90 92 98 110 150 162 168 170 180 182 192 222 248 260	896819148450
SPT(16)	1294465876144179601	0 16 48 66 106 126 148 196 240 288 310 330 370 388 420 436	1003054523072