Prime p₀= 727215720359517209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 70 2 28 2 4 2 58 2 (?)
a_n: 0 2 18 20 60 62 132 134 162 164 168 170 228 230
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: 230
Found by: Theadalus
db: batch=73, k=14, 16 40 70 28 4 58

STPT(10)	727213702213193969	0 2 42 44 90 92 138 140 180 182	-2018146323240
SPT(16)	727213920196315631	0 6 18 62 102 140 158 216 242 300 318 356 396 440 452 458	-1800163201578
STPT(10)	727214370791004779	0 2 12 14 90 92 168 170 180 182	-1349568512430
SPT(16)	727214513403497089	0 12 84 124 132 150 172 190 234 252 274 292 300 340 412 424	-1206956020120
SPT(16)	727214849894756731	0 30 36 72 76 78 106 112 126 132 160 162 166 202 208 238	-870464760478
SPT(16)	727214902128363841	0 66 108 136 148 178 190 208 288 306 318 348 360 388 430 496	-818231153368
STPT(10)	727216115092029287	0 2 84 86 132 134 180 182 264 266	394732512078
SPT(16)	727216291022314697	0 2 32 86 140 156 164 174 182 192 200 216 270 324 354 356	570662797488
STPT(10)	727216294808069777	0 2 42 44 72 74 102 104 144 146	574448552568
SPT(16)	727216486005021283	0 10 24 36 66 78 108 126 148 166 196 208 238 250 264 274	765645504074
STPT(10)	727216702553275577	0 2 30 32 42 44 54 56 84 86	982193758368