Prime p₀= 115691263955684579 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 74 4 36 6 42 2 34 2 42 6 36 4 74 (?)
a_n: 0 74 78 114 120 162 164 198 200 242 248 284 288 362
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 362
Found by: nenym
db: batch=67, k=14, 74 4 36 6 42 2 34

SPT(14)	115691180164854587	0 2 20 30 56 60 66 80 86 90 116 126 144 146	-83790829992
SPT(14)	115691209879230343	0 28 30 40 46 88 96 100 108 150 156 166 168 196	-54076454236
SPT(14)	115691215918967569	0 28 30 34 108 124 130 138 144 160 234 238 240 268	-48036717010
SPT(14)	115691220016936133	0 6 8 20 44 120 140 204 224 300 324 336 338 344	-43938748446
SPT(16)	115691231696907553	0 10 18 66 88 126 144 156 178 190 208 246 268 316 324 334	-32258777026
TPT(12)	115691233626601781	0 2 30 32 36 38 78 80 108 110 150 152	-30329082798
SPT(16)	115691277948996683	0 8 48 114 126 146 150 164 180 194 198 218 230 296 336 344	13993312104
SPT(14)	115691278800335969	0 8 14 24 30 78 90 338 350 398 404 414 420 428	14844651390
SPT(14)	115691297153841403	0 4 100 124 154 166 268 276 378 390 420 444 540 544	33198156824
SPT(14)	115691300980670941	0 12 28 30 42 66 108 130 172 196 208 210 226 238	37024986362
SPT(14)	115691318684232493	0 4 10 30 54 66 114 250 298 310 334 354 360 364	54728547914