Prime p₀= 2860050609051878369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 4 2 82 2 16 2 28 2 (?)
a_n: 0 2 12 14 72 74 78 80 162 164 180 182 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 10 58 4 82 16 28

SPT(16)	2860049495511844369	0 60 84 90 100 130 154 160 192 198 222 252 262 268 292 352	-1113540034000
SPT(16)	2860049663875834403	0 26 36 44 54 56 86 96 98 108 138 140 150 158 168 194	-945176043966
SPT(18)	2860049983104715547	0 12 24 110 122 170 180 194 240 266 312 326 336 384 396 482 494 506	-625947162822
SPT(16)	2860050186675916349	0 12 24 30 38 68 134 150 152 168 234 264 272 278 290 302	-422375962020
STPT(10)	2860050230991923939	0 2 12 14 30 32 48 50 60 62	-378059954430
STPT(10)	2860050292803580307	0 2 54 56 72 74 90 92 144 146	-316248298062
SPT(16)	2860050914349104759	0 12 20 38 44 48 54 62 90 98 104 108 114 132 140 152	305297226390
SPT(16)	2860051112871062017	0 4 6 12 70 84 90 120 136 166 172 186 244 250 252 256	503819183648
SPT(16)	2860051461221144963	0 14 24 26 48 66 78 120 194 236 248 266 288 290 300 314	852169266594
SPT(16)	2860051533290314079	0 12 38 90 98 110 138 140 162 164 192 204 212 264 290 302	924238435710
STPT(10)	2860051632779760449	0 2 18 20 30 32 42 44 60 62	1023727882080