Prime p₀= 2146235149214964317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 136 2 10 2 40 2 88 2 (?)
a_n: 0 2 12 14 72 74 210 212 222 224 264 266 354 356
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: 356
Found by: Landjunge
db: batch=80, k=14, 10 58 136 10 40 88

STPT(10)	2146233571054534601	0 2 6 8 48 50 90 92 96 98	-1578160429716
STPT(10)	2146234280936536001	0 2 30 32 78 80 126 128 156 158	-868278428316
STPT(10)	2146234356487333547	0 2 30 32 42 44 54 56 84 86	-792727630770
SPT(16)	2146234593413349533	0 6 20 66 68 80 108 146 210 248 276 288 290 336 350 356	-555801614784
STPT(10)	2146234757383982267	0 2 30 32 60 62 90 92 120 122	-391830982050
SPT(16)	2146234805803606841	0 12 56 72 92 96 162 180 182 200 266 270 290 306 350 362	-343411357476
SPT(16)	2146235364520063049	0 32 62 72 80 90 114 150 164 200 224 234 242 252 282 314	215305098732
SPT(16)	2146235510596253837	0 90 120 164 182 192 204 252 272 320 332 342 360 404 434 524	361381289520
SPT(16)	2146235637333316093	0 4 10 24 60 64 96 126 148 178 210 214 250 264 270 274	488118351776
SPT(16)	2146235677648049341	0 6 58 70 90 100 112 118 120 126 138 148 168 180 232 238	528433085024
SPT(16)	2146235803210920571	0 10 30 78 100 106 120 148 168 196 210 216 238 286 306 316	653995956254