Prime p₀= 44418344788345753 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 34 2 30 28 56 28 30 2 34 6 24 (?)
a_n: 0 24 30 64 66 96 124 180 208 238 240 274 280 304
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: Cruncher Pete
db: batch=65, k=14, 24 6 34 2 30 28 56

TPT(12)	44418306590745341	0 2 36 38 78 80 90 92 156 158 270 272	-38197600412
SPT(14)	44418313129826653	0 6 34 70 106 160 180 190 210 264 300 336 364 370	-31658519100
SPT(14)	44418314355787391	0 12 18 56 68 90 116 132 158 180 192 230 236 248	-30432558362
SPT(14)	44418319708901659	0 28 52 54 70 72 100 132 160 162 178 180 204 232	-25079444094
SPT(14)	44418329348833841	0 20 32 78 90 92 98 120 126 128 140 186 198 218	-15439511912
SPT(14)	44418335942333401	0 12 58 88 90 126 132 136 142 178 180 210 256 268	-8846012352
SPT(14)	44418347033806019	0 32 42 54 84 98 102 200 204 218 248 260 270 302	2245460266
STPT(10)	44418349634719481	0 2 36 38 78 80 120 122 156 158	4846373728
SPT(14)	44418357677650739	0 12 54 80 110 168 180 212 224 282 312 338 380 392	12889304986
TPT(12)	44418358666197779	0 2 48 50 90 92 198 200 222 224 282 284	13877852026
SPT(14)	44418374317591949	0 24 48 72 80 98 104 108 114 132 140 164 188 212	29529246196