Prime p₀= 1125031509353734519 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 18 6 48 12 24 6 14 6 24 12 48 6 18 10 (?)
a_n: 0 10 28 34 82 94 118 124 138 144 168 180 228 234 252 262
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: 262
Found by: crashtech
db: batch=76, k=16, 10 18 6 48 12 24 6 14

SPT(16)	1125030647723841589	0 42 48 70 90 118 120 168 184 232 234 262 282 304 310 352	-861629892930
TPT(14)	1125030982376311499	0 2 108 110 150 152 168 170 210 212 240 242 282 284	-526977423020
SPT(16)	1125031041211757711	0 66 78 92 192 260 290 302 336 348 378 446 546 560 572 638	-468141976808
STPT(10)	1125031051172151881	0 2 6 8 18 20 30 32 36 38	-458181582638
SPT(16)	1125031286706923131	0 6 30 78 120 142 198 222 226 250 306 328 370 418 442 448	-222646811388
SPT(16)	1125031456917714923	0 20 54 90 110 114 120 168 176 224 230 234 254 290 324 344	-52436019596
STPT(10)	1125031536835492211	0 2 30 32 78 80 126 128 156 158	27481757692
SPT(16)	1125031928526710311	0 6 28 42 60 76 90 118 120 148 162 178 196 210 232 238	419172975792
SPT(16)	1125032008858354039	0 24 34 70 72 130 150 160 252 262 282 340 342 378 388 412	499504619520
SPT(16)	1125032204575214899	0 40 54 64 78 82 120 144 148 172 210 214 228 238 252 292	695221480380
TPT(14)	1125032453045033129	0 2 42 44 48 50 102 104 240 242 312 314 330 332	943691298610