Prime p₀= 2958474147906624497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 130 2 40 2 4 2 58 2 (?)
a_n: 0 2 12 14 120 122 252 254 294 296 300 302 360 362
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: 362
Found by: Orange Kid
db: batch=82, k=14, 10 106 130 40 4 58

STPT(10)	2958472469554142867	0 2 30 32 42 44 54 56 84 86	-1678352481630
STPT(10)	2958472635239550641	0 2 36 38 78 80 120 122 156 158	-1512667073856
SPT(16)	2958472735564562701	0 46 60 78 88 108 112 190 198 276 280 300 310 328 342 388	-1412342061796
STPT(10)	2958473013375879911	0 2 6 8 18 20 30 32 36 38	-1134530744586
TPT(14)	2958473133974922437	0 2 24 26 54 56 84 86 102 104 222 224 240 242	-1013931702060
STPT(10)	2958473495743496711	0 2 30 32 78 80 126 128 156 158	-652163127786
SPT(16)	2958474176839637851	0 42 52 58 148 180 202 280 288 366 388 420 510 516 526 568	28933013354
TPT(14)	2958474573742659731	0 2 48 50 60 62 90 92 138 140 210 212 240 242	425836035234
STPT(10)	2958474868464676409	0 2 30 32 60 62 90 92 120 122	720558051912
SPT(16)	2958475284405983129	0 42 50 78 128 138 152 162 188 198 212 222 272 300 308 350	1136499358632
STPT(10)	2958475543502440601	0 2 6 8 48 50 90 92 96 98	1395595816104