Prime p₀= 740231394907301249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 28 2 52 2 4 2 82 2 (?)
a_n: 0 2 42 44 78 80 108 110 162 164 168 170 252 254
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: 254
Found by: Theadalus
db: batch=73, k=14, 40 34 28 52 4 82

SPT(16)	740229785197159781	0 12 20 68 86 90 96 132 146 182 188 192 210 258 266 278	-1609710141468
SPT(16)	740229993753522191	0 36 38 56 86 98 108 110 138 140 150 162 192 210 212 248	-1401153779058
STPT(10)	740230380033875711	0 2 36 38 78 80 120 122 156 158	-1014873425538
SPT(16)	740230745711089663	0 6 16 28 30 64 118 130 144 156 210 244 246 258 268 274	-649196211586
STPT(10)	740231081265206801	0 2 6 8 48 50 90 92 96 98	-313642094448
TPT(14)	740231189851559741	0 2 18 20 96 98 108 110 126 128 150 152 156 158	-205055741508
SPT(16)	740231432668838029	0 52 82 84 100 108 138 142 150 154 184 192 208 210 240 292	37761536780
SPT(16)	740231554294011811	0 16 40 58 96 100 108 148 210 250 258 262 300 318 342 358	159386710562
STPT(10)	740231903342469059	0 2 18 20 30 32 42 44 60 62	508435167810
STPT(10)	740231935691716967	0 2 30 32 72 74 114 116 144 146	540784415718
STPT(10)	740232076172203787	0 2 42 44 72 74 102 104 144 146	681264902538