Prime p₀= 740231189851559741 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 76 2 10 2 16 2 22 2 4 2 (?)
a_n: 0 2 18 20 96 98 108 110 126 128 150 152 156 158
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: 158
Found by: Theadalus
db: batch=73, k=14, 16 76 10 16 22 4

SPT(16)	740229760632983021	0 20 48 56 60 66 86 200 216 330 350 356 360 368 396 416	-1429218576720
SPT(16)	740229785197159781	0 12 20 68 86 90 96 132 146 182 188 192 210 258 266 278	-1404654399960
SPT(16)	740229993753522191	0 36 38 56 86 98 108 110 138 140 150 162 192 210 212 248	-1196098037550
STPT(10)	740230380033875711	0 2 36 38 78 80 120 122 156 158	-809817684030
SPT(16)	740230745711089663	0 6 16 28 30 64 118 130 144 156 210 244 246 258 268 274	-444140470078
STPT(10)	740231081265206801	0 2 6 8 48 50 90 92 96 98	-108586352940
TPT(14)	740231394907301249	0 2 42 44 78 80 108 110 162 164 168 170 252 254	205055741508
SPT(16)	740231432668838029	0 52 82 84 100 108 138 142 150 154 184 192 208 210 240 292	242817278288
SPT(16)	740231554294011811	0 16 40 58 96 100 108 148 210 250 258 262 300 318 342 358	364442452070
STPT(10)	740231903342469059	0 2 18 20 30 32 42 44 60 62	713490909318
STPT(10)	740231935691716967	0 2 30 32 72 74 114 116 144 146	745840157226