Prime p₀= 2342421234083395897 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 10 8 4 74 4 2 4 2 4 74 4 8 10 24 (?)
a_n: 0 24 34 42 46 120 124 126 130 132 136 210 214 222 232 256
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: 256
Found by: Landjunge
db: batch=81, k=16, 24 10 8 4 74 4 2 4

SPT(16)	2342419988334896447	0 20 26 32 66 80 110 126 206 222 252 266 300 306 312 332	-1245748499450
SPT(16)	2342420182851115391	0 6 30 50 126 170 248 302 336 390 468 512 588 608 632 638	-1051232280506
SPT(16)	2342420202835001483	0 60 78 80 108 126 134 168 176 210 218 236 264 266 284 344	-1031248394414
STPT(10)	2342420358858373217	0 2 30 32 72 74 114 116 144 146	-875225022680
STPT(10)	2342421182491434101	0 2 36 38 78 80 120 122 156 158	-51591961796
SPT(16)	2342421190702472843	0 8 56 60 84 104 120 200 294 374 390 410 434 438 486 494	-43380923054
STPT(10)	2342421243093521267	0 2 30 32 42 44 54 56 84 86	9010125370
SPT(16)	2342421670646083987	0 34 52 60 90 120 154 160 186 192 226 256 286 294 312 346	436562688090
SPT(16)	2342421874325346509	0 24 78 90 92 98 108 122 180 194 204 210 212 224 278 302	640241950612
SPT(16)	2342421891958286431	0 10 30 46 88 96 100 112 126 138 142 150 192 208 228 238	657874890534
TPT(14)	2342421901471216337	0 2 42 44 84 86 90 92 132 134 180 182 192 194	667387820440