Prime p₀= 2431837128222748637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 118 2 4 2 58 2 70 2 28 2 (?)
a_n: 0 2 24 26 144 146 150 152 210 212 282 284 312 314
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: 314
Found by: JayPi
db: batch=82, k=14, 22 118 4 58 70 28

SPT(16)	2431835772546670429	0 24 64 70 78 88 90 120 142 172 174 184 192 198 238 262	-1355676078208
STPT(10)	2431836028197804461	0 2 30 32 78 80 126 128 156 158	-1100024944176
STPT(10)	2431836178869710939	0 2 18 20 30 32 42 44 60 62	-949353037698
SPT(16)	2431836329664221651	0 6 12 26 42 68 78 90 98 110 120 146 162 176 182 188	-798558526986
SPT(16)	2431836694826157197	0 12 54 66 96 122 140 144 182 186 204 230 260 272 314 326	-433396591440
STPT(10)	2431836891503604749	0 2 48 50 90 92 132 134 180 182	-236719143888
STPT(10)	2431838320271571089	0 2 48 50 90 92 132 134 180 182	1192048822452
STPT(10)	2431838336803078961	0 2 6 8 18 20 30 32 36 38	1208580330324
STPT(10)	2431838586428677157	0 2 30 32 42 44 54 56 84 86	1458205928520
STPT(10)	2431838766503301611	0 2 30 32 78 80 126 128 156 158	1638280552974
SPT(16)	2431838801665144961	0 12 26 36 38 66 78 108 110 140 152 180 182 192 206 218	1673442396324