Prime p₀= 2810400383823888641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 106 2 10 2 40 2 124 2 (?)
a_n: 0 2 60 62 78 80 186 188 198 200 240 242 366 368
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: 368
Found by: JayPi
db: batch=82, k=14, 58 16 106 10 40 124

SPT(16)	2810399608611856321	0 22 60 82 90 118 126 156 172 202 210 238 246 268 306 328	-775212032320
STPT(10)	2810399635977700967	0 2 30 32 72 74 114 116 144 146	-747846187674
STPT(12)	2810399745456915539	0 2 12 14 30 32 180 182 198 200 210 212	-638366973102
STPT(10)	2810399885486574341	0 2 36 38 78 80 120 122 156 158	-498337314300
SPT(13)	2810400174228469817	0 54 66 96 126 156 210 264 294 324 354 366 420	-209595418824
SPT(16)	2810400200506565089	0 22 42 52 112 132 142 274 288 420 430 450 510 520 540 562	-183317323552
STPT(10)	2810401135074136361	0 2 6 8 18 20 30 32 36 38	751250247720
STPT(10)	2810401186520969087	0 2 54 56 72 74 90 92 144 146	802697080446
SPT(16)	2810401619307113983	0 4 30 40 88 114 154 166 258 270 310 336 384 394 420 424	1235483225342
SPT(16)	2810402506541720029	0 30 42 64 88 90 120 168 304 352 382 384 408 430 442 472	2122717831388
STPT(10)	2810402789245797281	0 2 6 8 48 50 90 92 96 98	2405421908640