Prime p₀= 3022873378834924001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 52 2 16 2 16 2 (?)
a_n: 0 2 90 92 126 128 156 158 210 212 228 230 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 88 34 28 52 16 16

SPT(16)	3022871013977103943	0 34 90 108 118 154 244 264 280 300 390 426 436 454 510 544	-2364857820058
SPT(16)	3022871366369548439	0 14 32 54 152 158 182 204 218 240 264 270 368 390 408 422	-2012465375562
STPT(10)	3022871708433366479	0 2 18 20 30 32 42 44 60 62	-1670401557522
STPT(10)	3022872274405846361	0 2 36 38 78 80 120 122 156 158	-1104429077640
SPT(16)	3022872994524296491	0 12 18 102 160 172 222 238 270 286 336 348 406 490 496 508	-384310627510
STPT(10)	3022873062371593727	0 2 90 92 102 104 114 116 204 206	-316463330274
STPT(10)	3022873577244717809	0 2 18 20 30 32 42 44 60 62	198409793808
SPT(16)	3022873835995447943	0 14 48 78 134 158 164 216 218 270 276 300 356 386 420 434	457160523942
SPT(16)	3022874195417832541	0 36 88 108 130 132 136 210 238 312 316 318 340 360 412 448	816582908540
SPT(16)	3022874351110701547	0 22 66 82 124 160 196 210 256 270 306 342 384 400 444 466	972275777546
STPT(10)	3022874496707541989	0 2 42 44 60 62 78 80 120 122	1117872617988