Prime p₀= 1012038608664231383 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 14 6 16 8 66 24 4 18 2 18 4 24 66 8 16 6 14 (?)
a_n: 0 14 20 36 44 110 134 138 156 158 176 180 204 270 278 294 300 314
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: 314
Found by: HenkM
db: batch=76, k=18, 14 6 16 8 66 24 4 18 2

SPT(16)	1012037164895354201	0 2 18 32 86 90 92 102 146 156 158 162 216 230 246 248	-1443768877182
SPT(16)	1012037369891676761	0 48 122 132 138 188 210 222 266 278 300 350 356 366 440 488	-1238772554622
SPT(16)	1012037801410393169	0 14 48 74 90 98 198 200 222 224 324 332 348 374 408 422	-807253838214
SPT(16)	1012037926674039961	0 42 66 72 76 90 100 126 142 168 178 192 196 202 226 268	-681990191422
SPT(16)	1012038287231393729	0 2 54 98 110 164 192 194 228 230 258 312 324 368 420 422	-321432837654
STPT(10)	1012038395707700159	0 2 78 80 120 122 162 164 240 242	-212956531224
STPT(10)	1012038816831566339	0 2 12 14 30 32 48 50 60 62	208167334956
SPT(16)	1012038877697559839	0 2 32 84 110 150 152 180 182 210 212 252 278 330 360 362	269033328456
SPT(16)	1012039013527909561	0 22 82 108 112 126 132 148 150 166 172 186 190 216 276 298	404863678178
STPT(10)	1012039028958959717	0 2 60 62 72 74 84 86 144 146	420294728334
STPT(10)	1012039187086595021	0 2 6 8 48 50 90 92 96 98	578422363638