Prime p₀= 4011825530294647589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 64 2 28 2 40 2 76 2 (?)
a_n: 0 2 30 32 102 104 168 170 198 200 240 242 318 320
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: 320
Found by: [AF] Kalianthys
db: batch=84, k=14, 28 70 64 28 40 76

STPT(10)	4011824416402227707	0 2 42 44 72 74 102 104 144 146	-1113892419882
SPT(22)	4011824484449368121	0 2 8 12 38 56 68 78 96 108 198 230 320 332 350 360 372 390 416 420 426 428	-1045845279468
SPT(16)	4011824818254611503	0 28 54 106 124 144 168 210 214 256 280 300 318 370 396 424	-712040036086
STPT(10)	4011825318141933947	0 2 12 14 72 74 132 134 144 146	-212152713642
SPT(13)	4011825470204111719	0 48 90 102 120 162 210 258 300 318 330 372 420	-60090535870
SPT(16)	4011825477871176101	0 6 48 56 66 80 122 132 146 156 198 212 222 230 272 278	-52423471488
SPT(16)	4011825555182113297	0 66 72 94 124 142 156 186 220 250 264 282 312 334 340 406	24887465708
SPT(16)	4011825882207782993	0 8 18 68 74 78 98 120 134 156 176 180 186 236 246 254	351913135404
STPT(10)	4011825890613407231	0 2 30 32 78 80 126 128 156 158	360318759642
STPT(10)	4011826184684132387	0 2 24 26 42 44 60 62 84 86	654389484798
SPT(16)	4011826260573890201	0 6 20 60 92 98 122 132 176 186 210 216 248 288 302 308	730279242612