Prime p₀= 2804727956803202429 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2804726791389505559	0 14 38 42 90 128 134 140 162 168 174 212 260 264 288 302	-1165413696870
SPT(16)	2804726984322793753	0 16 18 48 114 150 174 178 276 280 304 340 406 436 438 454	-972480408676
SPT(16)	2804726990951833357	0 4 12 34 40 106 130 132 154 156 180 246 252 274 282 286	-965851369072
SPT(16)	2804727331446800647	0 4 10 16 30 34 52 94 132 174 192 196 210 216 222 226	-625356401782
STPT(10)	2804727461780035529	0 2 48 50 90 92 132 134 180 182	-495023166900
TPT(14)	2804727481539882737	0 2 12 14 42 44 102 104 114 116 180 182 210 212	-475263319692
SPT(16)	2804728151096623931	0 26 60 62 72 86 126 138 230 242 282 296 306 308 342 368	194293421502
SPT(16)	2804728423274344339	0 12 22 34 82 114 132 148 174 190 208 240 288 300 310 322	466471141910
SPT(18)	2804729247015133051	0 28 48 132 168 180 196 216 298 300 382 402 418 430 466 550 570 598	1290211930622
SPT(16)	2804729739072290363	0 8 26 50 60 78 110 140 144 174 206 224 234 258 276 284	1782269087934
SPT(16)	2804730011279666807	0 12 32 50 84 116 122 152 234 264 270 302 336 354 374 386	2054476464378