Prime p₀= 59658295575776501 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 64 2 58 2 28 2 10 2 (?)
a_n: 0 2 60 62 90 92 156 158 216 218 246 248 258 260
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: 260
Found by: RFGuy_KCCO
db: batch=67, k=14, 58 28 64 58 28 10

SPT(14)	59658206480818013	0 8 18 66 78 90 120 146 176 188 200 248 258 266	-89094958488
SPT(14)	59658206881393751	0 56 60 68 120 122 126 152 156 158 210 218 222 278	-88694382750
SPT(14)	59658208753685177	0 20 32 80 102 116 132 164 180 194 216 264 276 296	-86822091324
TPT(12)	59658223397836079	0 2 30 32 78 80 90 92 168 170 198 200	-72177940422
TPT(12)	59658226677880757	0 2 24 26 90 92 120 122 180 182 222 224	-68897895744
SPT(14)	59658274164680567	0 24 26 80 90 96 102 104 110 116 126 180 182 206	-21411095934
SPT(14)	59658304896214657	0 72 90 96 112 184 286 300 402 474 490 496 514 586	9320438156
SPT(14)	59658306329218813	0 34 84 108 210 216 280 324 388 394 496 520 570 604	10753442312
SPT(14)	59658308410450027	0 22 102 106 126 144 154 252 262 280 300 304 384 406	12834673526
SPT(14)	59658321683701201	0 48 52 70 88 102 138 172 208 222 240 258 262 310	26107924700
SPT(14)	59658332477421277	0 10 22 36 42 120 124 162 166 244 250 264 276 286	36901644776