Prime p₀= 2399813321980295159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 40 2 4 2 82 2 34 2 (?)
a_n: 0 2 12 14 120 122 162 164 168 170 252 254 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=14, 10 106 40 4 82 34

SPT(16)	2399812721426266397	0 20 62 66 72 96 104 146 300 342 350 374 380 384 426 446	-600554028762
SPT(16)	2399812725132455041	0 16 28 58 76 82 90 96 142 148 156 162 180 210 222 238	-596847840118
SPT(16)	2399812874128495367	0 26 36 42 62 114 182 246 350 414 482 534 554 560 570 596	-447851799792
STPT(10)	2399813028664499807	0 2 60 62 102 104 144 146 204 206	-293315795352
SPT(16)	2399813074971329981	0 60 66 90 98 116 120 138 230 248 252 270 278 302 308 368	-247008965178
STPT(10)	2399813253050381219	0 2 18 20 60 62 102 104 120 122	-68929913940
STPT(10)	2399813790185219459	0 2 18 20 30 32 42 44 60 62	468204924300
STPT(10)	2399813977918478447	0 2 30 32 42 44 54 56 84 86	655938183288
SPT(16)	2399814609592728203	0 24 36 116 120 140 156 194 210 248 264 284 288 368 380 404	1287612433044
STPT(10)	2399814774347956247	0 2 60 62 72 74 84 86 144 146	1452367661088
STPT(10)	2399815031495010707	0 2 30 32 42 44 54 56 84 86	1709514715548