Prime p₀= 3027591013920532679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 28 2 94 2 28 2 10 2 (?)
a_n: 0 2 42 44 72 74 102 104 198 200 228 230 240 242
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: eclipse99
db: batch=82, k=14, 40 28 28 94 28 10

SPT(16)	3027588871256288861	0 2 20 30 32 36 56 68 120 132 152 156 158 168 186 188	-2142664243818
STPT(12)	3027590114532595091	0 2 6 8 30 32 186 188 210 212 216 218	-899387937588
STPT(10)	3027590257938208811	0 2 30 32 60 62 90 92 120 122	-755982323868
TPT(14)	3027590420127774251	0 2 18 20 36 38 156 158 186 188 210 212 216 218	-593792758428
SPT(16)	3027590652457379069	0 18 20 32 42 84 102 110 132 140 158 200 210 222 224 242	-361463153610
STPT(10)	3027590743199668991	0 2 36 38 78 80 120 122 156 158	-270720863688
STPT(10)	3027591440542550597	0 2 72 74 102 104 132 134 204 206	426622017918
SPT(16)	3027591502014086401	0 6 10 108 118 130 136 160 168 192 198 210 220 318 322 328	488093553722
SPT(16)	3027591821015757449	0 42 44 54 72 152 164 180 182 198 210 290 308 318 320 362	807095224770
STPT(10)	3027591897305483477	0 2 54 56 72 74 90 92 144 146	883384950798
SPT(16)	3027593009306643983	0 36 44 74 90 116 140 170 330 360 384 410 426 456 464 500	1995386111304