Prime p₀= 2546914115966454371 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 46 2 88 2 40 2 58 2 (?)
a_n: 0 2 60 62 168 170 216 218 306 308 348 350 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 106 46 88 40 58

STPT(10)	2546913090794409431	0 2 6 8 48 50 90 92 96 98	-1025172044940
SPT(16)	2546913407090789381	0 8 12 42 78 80 86 98 150 162 168 170 206 236 240 248	-708875664990
SPT(16)	2546913413527002041	0 12 48 56 98 120 152 186 212 246 278 300 342 350 386 398	-702439452330
SPT(13)	2546913421406767489	0 42 60 90 108 168 180 192 252 270 300 318 360	-694559686882
SPT(16)	2546913561824264449	0 18 24 34 42 48 64 70 102 108 124 130 138 148 154 172	-554142189922
SPT(16)	2546913863752498871	0 8 80 86 102 108 122 126 152 156 170 176 192 198 270 278	-252213955500
TPT(14)	2546914272515531447	0 2 12 14 42 44 72 74 90 92 114 116 144 146	156549077076
STPT(10)	2546914561164761699	0 2 18 20 30 32 42 44 60 62	445198307328
STPT(10)	2546914778766118529	0 2 18 20 30 32 42 44 60 62	662799664158
STPT(10)	2546914810131405377	0 2 42 44 72 74 102 104 144 146	694164951006
SPT(16)	2546914938014852819	0 8 18 30 38 60 78 110 168 200 218 240 248 260 270 278	822048398448