Prime p₀= 1613057151715159721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 10 2 130 2 124 2 22 2 (?)
a_n: 0 2 48 50 126 128 138 140 270 272 396 398 420 422
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: 422
Found by: xii5ku
db: batch=78, k=14, 46 76 10 130 124 22

SPT(16)	1613056331999096359	0 48 70 82 88 144 160 168 214 222 238 294 300 312 334 382	-819716063362
STPT(10)	1613056382396806679	0 2 12 14 90 92 168 170 180 182	-769318353042
STPT(10)	1613056602606828497	0 2 24 26 42 44 60 62 84 86	-549108331224
TPT(14)	1613056660642657169	0 2 30 32 42 44 60 62 78 80 90 92 102 104	-491072502552
STPT(10)	1613056660642657199	0 2 12 14 30 32 48 50 60 62	-491072502522
SPT(16)	1613056703494900259	0 18 50 68 84 102 140 170 192 222 260 278 294 312 344 362	-448220259462
STPT(10)	1613057421215392049	0 2 18 20 30 32 42 44 60 62	269500232328
SPT(16)	1613057680436161571	0 8 30 50 78 96 146 152 156 162 212 230 258 278 300 308	528721001850
STPT(10)	1613057783505356759	0 2 18 20 30 32 42 44 60 62	631790197038
STPT(10)	1613057832977890259	0 2 78 80 120 122 162 164 240 242	681262730538
SPT(16)	1613058072542132449	0 22 30 48 58 60 70 72 148 150 160 162 172 190 198 220	920826972728