Prime p₀= 1556498137326635549 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 70 2 4 2 70 2 178 2 (?)
a_n: 0 2 48 50 60 62 132 134 138 140 210 212 390 392
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: 392
Found by: biodoc
db: batch=78, k=14, 46 10 70 4 70 178

SPT(16)	1556497310949246191	0 18 38 92 108 116 120 138 140 158 162 170 186 240 260 278	-826377389358
SPT(16)	1556497377099402697	0 10 12 22 24 40 42 82 84 124 126 142 144 154 156 166	-760227232852
STPT(14)	1556497377099402707	0 2 12 14 30 32 72 74 114 116 132 134 144 146	-760227232842
TPT(14)	1556497377099402707	0 2 12 14 30 32 72 74 114 116 132 134 144 146	-760227232842
STPT(12)	1556497950896842769	0 2 30 32 60 62 72 74 102 104 132 134	-186429792780
STPT(10)	1556497966041705221	0 2 78 80 108 110 138 140 216 218	-171284930328
TPT(16)	1556498737995129167	0 2 30 32 42 44 72 74 120 122 150 152 192 194 252 254	600668493618
SPT(16)	1556498762733406819	0 4 60 90 108 120 162 238 294 370 412 424 442 472 528 532	625406771270
STPT(12)	1556498943133850447	0 2 30 32 84 86 90 92 144 146 174 176	805807214898
STPT(10)	1556499187872128387	0 2 30 32 42 44 54 56 84 86	1050545492838
STPT(10)	1556499470474870039	0 2 18 20 30 32 42 44 60 62	1333148234490