Prime p₀= 570397183123422071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 34 2 40 2 58 2 16 2 (?)
a_n: 0 2 6 8 60 62 96 98 138 140 198 200 216 218
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: 218
Found by: Vato
db: batch=57, k=14, 4 52 34 40 58 16

SPT(14)	570397114351409549	0 8 80 92 98 110 140 180 210 222 228 240 312 320	-68772012522
SPT(14)	570397138222114843	0 16 48 90 96 118 124 150 156 178 184 226 258 274	-44901307228
SPT(14)	570397148153537099	0 2 24 54 62 90 108 194 212 240 248 278 300 302	-34969884972
SPT(16)	570397150852068269	0 2 14 32 74 134 144 170 204 230 240 300 342 360 372 374	-32271353802
TPT(14)	570397170950782499	0 2 18 20 60 62 78 80 102 104 120 122 210 212	-12172639572
TPT(12)	570397175377504997	0 2 30 32 54 56 60 62 84 86 90 92	-7745917074
TPT(12)	570397190512109327	0 2 12 14 54 56 204 206 210 212 222 224	7388687256
SPT(14)	570397206703617647	0 60 72 84 104 110 144 170 204 210 230 242 254 314	23580195576
TPT(12)	570397219349372111	0 2 30 32 90 92 156 158 228 230 306 308	36225950040
SPT(14)	570397221166158311	0 60 80 92 126 146 150 158 162 182 216 228 248 308	38042736240
SPT(14)	570397231115157701	0 2 36 80 90 146 156 182 192 248 258 302 336 338	47991735630