Prime p₀= 1025783234425980389 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 50 10 2 16 12 44 30 4 30 44 12 16 2 10 50 (?)
a_n: 0 50 60 62 78 90 134 164 168 198 242 254 270 272 282 332
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: 332
Found by: HenkM
db: batch=76, k=16, 50 10 2 16 12 44 30 4

SPT(16)	1025782357521174469	0 40 82 90 108 138 184 220 282 318 364 394 412 420 462 502	-876904805920
SPT(16)	1025782414686796121	0 12 68 80 90 108 180 182 186 188 260 278 288 300 356 368	-819739184268
SPT(16)	1025782548873532691	0 42 92 98 120 146 180 192 206 218 252 278 300 306 356 398	-685552447698
STPT(10)	1025782587904870931	0 2 36 38 78 80 120 122 156 158	-646521109458
SPT(16)	1025782695041122279	0 34 48 60 78 154 202 214 228 240 288 364 382 394 408 442	-539384858110
SPT(16)	1025782807738866637	0 64 76 106 124 154 174 196 270 292 312 342 360 390 402 466	-426687113752
TPT(14)	1025783527756580687	0 2 12 14 54 56 264 266 360 362 384 386 414 416	293330600298
SPT(16)	1025783593425428269	0 24 70 138 168 180 190 204 238 252 262 274 304 372 418 442	358999447880
STPT(10)	1025783759081289797	0 2 30 32 120 122 210 212 240 242	524655309408
STPT(10)	1025783810751276287	0 2 60 62 72 74 84 86 144 146	576325295898
SPT(16)	1025784082894658089	0 4 28 60 70 100 112 142 270 300 312 342 352 384 408 412	848468677700