Prime p₀= 2156867362941488671 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 58 18 78 26 28 36 56 36 28 26 78 18 58 12 (?)
a_n: 0 12 70 88 166 192 220 256 312 348 376 402 480 498 556 568
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 568
Found by: Landjunge
db: batch=81, k=16, 12 58 18 78 26 28 36 56

SPT(16)	2156866806251910997	0 34 54 76 124 132 142 150 226 234 244 252 300 322 342 376	-556689577674
SPT(16)	2156866815132997999	0 30 40 58 70 82 108 114 118 124 150 162 174 192 202 232	-547808490672
STPT(10)	2156866954777922111	0 2 6 8 48 50 90 92 96 98	-408163566560
STPT(10)	2156867094118997891	0 2 36 38 78 80 120 122 156 158	-268822490780
STPT(10)	2156867273185041029	0 2 18 20 30 32 42 44 60 62	-89756447642
SPT(16)	2156867295093780019	0 24 72 100 102 142 154 178 234 258 270 310 312 340 388 412	-67847708652
SPT(16)	2156867610220980649	0 40 88 90 108 130 132 192 238 298 300 322 340 342 390 430	247279491978
STPT(10)	2156867659374249761	0 2 30 32 60 62 90 92 120 122	296432761090
STPT(10)	2156867952096809447	0 2 12 14 42 44 72 74 84 86	589155320776
SPT(16)	2156868386258265821	0 98 138 152 162 180 206 242 246 282 308 326 336 350 390 488	1023316777150
SPT(16)	2156868868913854049	0 8 62 78 104 110 122 128 174 180 192 198 224 240 294 302	1505972365378