Prime p₀= 2467910261743703519 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 28 2 10 2 76 2 76 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 120 122 198 200 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 2 28 2 10 2 76 2

SPT(16)	2467909792743461863	0 40 70 84 150 220 228 238 276 286 294 364 430 444 474 514	-469000241656
STPT(10)	2467909893343946081	0 2 30 32 60 62 90 92 120 122	-368399757438
STPT(10)	2467910025010315187	0 2 30 32 42 44 54 56 84 86	-236733388332
STPT(10)	2467910062456627931	0 2 6 8 18 20 30 32 36 38	-199287075588
SPT(16)	2467910228974424053	0 24 28 30 54 58 138 154 234 250 330 334 358 360 364 388	-32769279466
TPT(16)	2467910261743703477	0 2 42 44 72 74 84 86 162 164 240 242 252 254 282 284	-42
SPT(16)	2467910323441621987	0 4 66 70 82 84 112 126 130 144 172 174 186 190 252 256	61697918468
SPT(16)	2467910520027084817	0 6 24 94 112 126 130 166 180 216 220 234 252 322 340 346	258283381298
SPT(16)	2467911530915840341	0 70 72 96 100 208 210 282 346 418 420 528 532 556 558 628	1269172136822
SPT(16)	2467911618746412577	0 6 30 36 102 112 126 156 160 190 204 214 280 286 310 316	1357002709058
SPT(18)	2467911840891063649	0 18 52 88 108 112 118 132 150 190 208 222 228 232 252 288 322 340	1579147360130