Prime p₀= 2403624977765722829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 136 2 22 2 4 2 88 2 (?)
a_n: 0 2 18 20 60 62 198 200 222 224 228 230 318 320
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: 320
Found by: [SG-FC] hl
db: batch=82, k=14, 16 40 136 22 4 88

SPT(16)	2403624398833202767	0 6 46 76 124 244 250 252 334 336 342 462 510 540 580 586	-578932520062
STPT(10)	2403624523389325991	0 2 60 62 198 200 336 338 396 398	-454376396838
STPT(10)	2403624750650407157	0 2 30 32 42 44 54 56 84 86	-227115315672
SPT(16)	2403624764162953897	0 40 46 70 76 82 100 114 142 156 174 180 186 210 216 256	-213602768932
SPT(16)	2403624810866478253	0 4 6 84 96 108 150 174 250 274 316 328 340 418 420 424	-166899244576
SPT(16)	2403624867058542103	0 58 70 124 148 160 190 198 256 264 294 306 330 384 396 454	-110707180726
STPT(10)	2403625115476389401	0 2 36 38 78 80 120 122 156 158	137710666572
SPT(16)	2403625222199241347	0 6 26 60 74 104 114 146 150 182 192 222 236 270 290 296	244433518518
SPT(16)	2403625560750690953	0 6 54 56 68 84 98 140 144 186 200 216 228 230 278 284	582984968124
SPT(16)	2403625601536000603	0 34 60 84 126 130 144 160 180 196 210 214 256 280 306 340	623770277774
SPT(16)	2403625612620641147	0 26 62 90 96 110 116 176 186 246 252 266 272 300 336 362	634854918318