Prime p₀= 2507679787987702499 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 8 34 6 14 16 44 10 2 4 2 10 44 16 14 6 34 8 (?)
a_n: 0 8 42 48 62 78 122 132 134 138 140 150 194 210 224 230 264 272
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: JayPi
db: batch=82, k=18, 8 34 6 14 16 44 10 2 4

SPT(16)	2507678606177711881	0 6 40 46 70 132 136 178 210 252 256 318 342 348 382 388	-1181809990618
SPT(16)	2507678666595756427	0 46 72 90 114 120 132 142 174 184 196 202 226 244 270 316	-1121391946072
SPT(16)	2507678915264506901	0 12 42 66 80 86 152 156 206 210 276 282 296 320 350 362	-872723195598
STPT(10)	2507679045844236071	0 2 96 98 108 110 120 122 216 218	-742143466428
TPT(14)	2507679410125771907	0 2 60 62 84 86 102 104 210 212 240 242 312 314	-377861930592
SPT(16)	2507679709783517743	0 18 40 70 78 108 154 168 400 414 460 490 498 528 550 568	-78204184756
SPT(16)	2507680080619358209	0 4 54 60 120 130 132 160 222 250 252 262 322 328 378 382	292631655710
SPT(16)	2507680274880085177	0 6 42 46 52 66 112 124 132 144 190 204 210 214 250 256	486892382678
STPT(10)	2507680507965933239	0 2 42 44 60 62 78 80 120 122	719978230740
SPT(16)	2507680515893714129	0 30 80 92 104 128 132 134 168 170 174 198 210 222 272 302	727906011630
STPT(10)	2507680861062362267	0 2 42 44 72 74 102 104 144 146	1073074659768