Prime p₀= 2291127075884189297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2291125163107939061	0 36 60 66 72 116 126 156 212 242 252 296 302 308 332 368	-1912776250236
SPT(16)	2291125618180770829	0 28 54 58 64 72 82 100 132 150 160 168 174 178 204 232	-1457703418468
STPT(10)	2291125876455293231	0 2 126 128 258 260 390 392 516 518	-1199428896066
SPT(16)	2291126275085715901	0 12 18 22 28 60 96 130 138 172 208 240 246 250 256 268	-800798473396
SPT(16)	2291126579093855401	0 30 72 108 112 148 150 166 192 208 210 246 250 286 328 358	-496790333896
STPT(10)	2291126696576228339	0 2 48 50 90 92 132 134 180 182	-379307960958
SPT(18)	2291127363420747127	0 16 24 34 52 90 126 132 154 162 184 190 226 264 282 292 300 316	287536557830
STPT(10)	2291127451678726259	0 2 18 20 30 32 42 44 60 62	375794536962
SPT(16)	2291127966913821989	0 32 42 44 74 84 122 128 144 150 188 198 228 230 240 272	891029632692
SPT(16)	2291127979618701173	0 26 68 96 110 164 198 224 240 266 300 354 368 396 438 464	903734511876
SPT(16)	2291128911433412333	0 38 56 86 134 150 174 210 254 290 314 330 378 408 426 464	1835549223036