Prime p₀= 3650832098848349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 46 2 10 2 94 2 10 2 (?)
a_n: 0 2 60 62 72 74 120 122 132 134 228 230 240 242
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: 242
Found by: crashtech
db: batch=61, k=14, 58 10 46 10 94 10

SPT(14)	3650799297617327	0 30 42 44 56 62 86 120 144 150 162 164 176 206	-32801231022
SPT(14)	3650803065469139	0 38 42 90 110 138 144 188 194 222 242 290 294 332	-29033379210
SPT(14)	3650813154354269	0 8 72 74 78 92 114 128 150 164 168 170 234 242	-18944494080
SPT(14)	3650815033288369	0 34 42 114 130 144 198 244 298 312 328 400 408 442	-17065559980
SPT(14)	3650829193706069	0 18 42 60 78 114 128 174 188 224 242 260 284 302	-2905142280
STPT(10)	3650829231978791	0 2 30 32 78 80 126 128 156 158	-2866869558
SPT(14)	3650841643245439	0 4 18 24 112 114 172 180 238 240 328 334 348 352	9544397090
SPT(14)	3650851254887567	0 24 26 66 84 86 96 164 174 176 194 234 236 260	19156039218
SPT(14)	3650859726888533	0 14 18 20 38 66 68 96 98 126 144 146 150 164	27628040184
TPT(12)	3650864958784709	0 2 30 32 42 44 72 74 120 122 150 152	32859936360
SPT(14)	3650875410532061	0 18 26 38 158 188 206 210 228 258 378 390 398 416	43311683712