Prime p₀= 2823694553382402779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2823692469392424761	0 32 42 66 80 102 146 152 216 222 266 288 302 326 336 368	-2083989978018
STPT(10)	2823693106413917207	0 2 30 32 42 44 54 56 84 86	-1446968485572
SPT(16)	2823693502821842591	0 42 68 72 80 128 146 212 276 342 360 408 416 420 446 488	-1050560560188
SPT(16)	2823693625790758099	0 4 22 60 82 100 142 144 190 192 234 252 274 312 330 334	-927591644680
STPT(10)	2823693928791916067	0 2 24 26 42 44 60 62 84 86	-624590486712
SPT(16)	2823694185155257627	0 10 12 54 70 100 132 142 234 244 276 306 322 364 366 376	-368227145152
SPT(16)	2823694780512916907	0 24 42 72 126 146 156 192 224 260 270 290 344 374 392 416	227130514128
TPT(14)	2823694910311584599	0 2 42 44 78 80 132 134 138 140 162 164 168 170	356929181820
TPT(14)	2823695429084205407	0 2 114 116 144 146 174 176 180 182 240 242 264 266	875701802628
STPT(10)	2823695635264656671	0 2 36 38 78 80 120 122 156 158	1081882253892
STPT(10)	2823695746651659569	0 2 18 20 30 32 42 44 60 62	1193269256790