Prime p₀= 1518538875136189547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 22 2 16 2 40 2 34 2 (?)
a_n: 0 2 60 62 90 92 114 116 132 134 174 176 210 212
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: xii5ku
db: batch=78, k=14, 58 28 22 16 40 34

TPT(14)	1518537354810126149	0 2 30 32 42 44 48 50 72 74 90 92 120 122	-1520326063398
SPT(16)	1518537499802533141	0 10 12 46 88 136 138 178 180 220 222 270 312 346 348 358	-1375333656406
STPT(10)	1518537913378536101	0 2 6 8 18 20 30 32 36 38	-961757653446
SPT(16)	1518538222530431429	0 8 92 120 132 138 150 162 290 302 314 320 332 360 444 452	-652605758118
SPT(16)	1518538243041068521	0 18 30 42 48 88 108 112 156 160 180 220 226 238 250 268	-632095121026
STPT(10)	1518538370365342589	0 2 48 50 90 92 132 134 180 182	-504770846958
STPT(10)	1518538905201645917	0 2 42 44 72 74 102 104 144 146	30065456370
SPT(16)	1518539179538360407	0 54 70 162 306 316 360 366 400 406 450 460 604 696 712 766	304402170860
STPT(10)	1518539259895411811	0 2 30 32 78 80 126 128 156 158	384759222264
STPT(10)	1518539304732427301	0 2 30 32 78 80 126 128 156 158	429596237754
STPT(10)	1518539848666069037	0 2 30 32 42 44 54 56 84 86	973529879490