Prime p₀= 1458656283661740047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 64 2 190 2 28 2 (?)
a_n: 0 2 42 44 54 56 84 86 150 152 342 344 372 374
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: 374
Found by: [SG-2W]Kurzer
db: batch=78, k=14, 40 10 28 64 190 28

STPT(10)	1458655639227279917	0 2 54 56 72 74 90 92 144 146	-644434460130
STPT(10)	1458655715568507227	0 2 30 32 72 74 114 116 144 146	-568093232820
SPT(16)	1458655748881095763	0 40 48 78 84 96 120 130 204 214 238 250 256 286 294 334	-534780644284
STPT(10)	1458656014738832807	0 2 42 44 72 74 102 104 144 146	-268922907240
STPT(10)	1458656091354613979	0 2 42 44 60 62 78 80 120 122	-192307126068
STPT(10)	1458656148689651279	0 2 18 20 30 32 42 44 60 62	-134972088768
STPT(10)	1458656287216641167	0 2 30 32 72 74 114 116 144 146	3554901120
SPT(13)	1458656346910912631	0 18 48 60 102 108 150 192 198 240 252 282 300	63249172584
TPT(14)	1458656548757317277	0 2 30 32 54 56 102 104 132 134 222 224 264 266	265095577230
SPT(16)	1458656903279416879	0 10 12 22 24 78 112 114 148 150 184 238 240 250 252 262	619617676832
SPT(16)	1458656920295442193	0 6 16 28 54 100 118 120 124 126 144 190 216 228 238 244	636633702146