Prime p₀= 1820367411652722629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 58 2 4 2 40 2 (?)
a_n: 0 2 12 14 30 32 72 74 132 134 138 140 180 182
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: 182
Found by: amazing
db: batch=79, k=14, 10 16 40 58 4 40

SPT(20)	1820364407132305019	0 12 14 32 42 60 72 102 104 110 144 150 152 182 194 212 222 240 242 254	-3004520417610
TPT(14)	1820365218951456179	0 2 72 74 90 92 162 164 198 200 210 212 312 314	-2192701266450
SPT(16)	1820365898689376963	0 26 78 110 114 116 144 200 204 260 288 290 294 326 378 404	-1512963345666
SPT(16)	1820366293630759177	0 10 24 36 46 70 154 156 184 186 270 294 304 316 330 340	-1118021963452
SPT(16)	1820366469277245233	0 50 78 170 194 204 236 248 336 348 380 390 414 506 534 584	-942375477396
STPT(10)	1820366578365817121	0 2 6 8 48 50 90 92 96 98	-833286905508
STPT(10)	1820367554756568047	0 2 24 26 42 44 60 62 84 86	143103845418
STPT(10)	1820367570209737691	0 2 6 8 18 20 30 32 36 38	158557015062
STPT(10)	1820368004311388429	0 2 18 20 30 32 42 44 60 62	592658665800
STPT(10)	1820368014490733291	0 2 78 80 108 110 138 140 216 218	602838010662
SPT(16)	1820368127941996861	0 18 40 70 78 118 148 156 172 180 210 250 258 288 310 328	716289274232