Prime p₀= 7440008753776453 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 64 32 4 8 40 2 4 2 40 8 4 32 64 (?)
a_n: 0 64 96 100 108 148 150 154 156 196 204 208 240 304
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: 304
Found by: crashtech
db: batch=62, k=14, 64 32 4 8 40 2 4

SPT(14)	7439973092335759	0 10 40 78 100 112 114 118 120 132 154 192 222 232	-35661440694
TPT(12)	7439975653365509	0 2 18 20 42 44 48 50 72 74 102 104	-33100410944
STPT(10)	7439976059565821	0 2 36 38 78 80 120 122 156 158	-32694210632
SPT(14)	7439981918320687	0 36 114 142 162 180 184 192 196 214 234 262 340 376	-26835455766
SPT(14)	7439992518868207	0 22 46 60 82 106 166 210 270 294 316 330 354 376	-16234908246
SPT(14)	7440007713666289	0 82 88 90 112 114 144 208 238 240 262 264 270 352	-1040110164
TPT(12)	7440019521350111	0 2 48 50 66 68 78 80 150 152 246 248	10767573658
TPT(12)	7440021489417089	0 2 18 20 42 44 108 110 198 200 240 242	12735640636
SPT(16)	7440023252965123	0 10 16 28 34 36 78 90 94 106 148 150 156 168 174 184	14499188670
SPT(14)	7440043244610817	0 12 24 84 112 120 130 144 154 162 190 250 262 274	34490834364
SPT(14)	7440045024115747	0 40 64 96 120 124 196 240 312 316 340 372 396 436	36270339294