Prime p₀= 2338588886003328599 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 10 2 64 2 28 2 22 2 (?)
a_n: 0 2 42 44 90 92 102 104 168 170 198 200 222 224
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: 224
Found by: Landjunge
db: batch=81, k=14, 40 46 10 64 28 22

SPT(16)	2338587415569418067	0 20 36 62 84 96 104 140 186 222 230 242 264 290 306 326	-1470433910532
SPT(16)	2338587489325710613	0 58 124 126 138 168 196 198 226 228 256 286 298 300 366 424	-1396677617986
TPT(14)	2338587795284265071	0 2 150 152 156 158 420 422 456 458 576 578 600 602	-1090719063528
SPT(16)	2338588100435569069	0 40 90 138 162 204 294 300 322 328 418 460 484 532 582 622	-785567759530
STPT(12)	2338588348760812607	0 2 42 44 90 92 174 176 222 224 264 266	-537242515992
STPT(10)	2338588578226004981	0 2 30 32 60 62 90 92 120 122	-307777323618
SPT(16)	2338588903072100747	0 12 50 80 90 144 146 162 164 180 182 236 246 276 314 326	17068772148
STPT(12)	2338588920676528307	0 2 12 14 30 32 54 56 72 74 84 86	34673199708
SPT(16)	2338589399769361073	0 66 90 98 114 156 206 210 254 258 308 350 366 374 398 464	513766032474
TPT(14)	2338589475197794307	0 2 60 62 102 104 144 146 222 224 234 236 240 242	589194465708
STPT(10)	2338589524288758077	0 2 30 32 42 44 54 56 84 86	638285429478