Prime p₀= 7440045024115747 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 24 32 24 4 72 44 72 4 24 32 24 40 (?)
a_n: 0 40 64 96 120 124 196 240 312 316 340 372 396 436
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: 436
Found by: crashtech
db: batch=62, k=14, 40 24 32 24 4 72 44

SPT(14)	7440007713666289	0 82 88 90 112 114 144 208 238 240 262 264 270 352	-37310449458
SPT(14)	7440008753776453	0 64 96 100 108 148 150 154 156 196 204 208 240 304	-36270339294
TPT(12)	7440019521350111	0 2 48 50 66 68 78 80 150 152 246 248	-25502765636
TPT(12)	7440021489417089	0 2 18 20 42 44 108 110 198 200 240 242	-23534698658
SPT(16)	7440023252965123	0 10 16 28 34 36 78 90 94 106 148 150 156 168 174 184	-21771150624
SPT(14)	7440043244610817	0 12 24 84 112 120 130 144 154 162 190 250 262 274	-1779504930
SPT(14)	7440048152586943	0 28 40 70 76 84 88 126 130 138 144 174 186 214	3128471196
SPT(14)	7440057774428947	0 22 52 72 76 84 100 126 142 150 154 174 204 226	12750313200
SPT(14)	7440062209541537	0 20 32 42 50 92 102 104 114 156 164 174 186 206	17185425790
TPT(12)	7440064183312151	0 2 18 20 30 32 66 68 96 98 180 182	19159196404
STPT(10)	7440067874728631	0 2 6 8 18 20 30 32 36 38	22850612884