Prime p₀= 2453248515041336867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 202 2 58 2 28 2 28 2 46 2 70 2 (?)
a_n: 0 2 204 206 264 266 294 296 324 326 372 374 444 446
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: 446
Found by: JayPi
db: batch=82, k=14, 202 58 28 28 46 70

SPT(16)	2453248020183164849	0 30 84 150 152 212 270 282 320 332 390 450 452 518 572 602	-494858172018
SPT(16)	2453248058428734109	0 70 124 138 148 168 184 202 210 228 244 264 274 288 342 412	-456612602758
SPT(16)	2453248134412218277	0 30 72 82 102 124 142 150 226 234 252 274 294 304 346 376	-380629118590
STPT(10)	2453248278452958977	0 2 12 14 42 44 72 74 84 86	-236588377890
SPT(16)	2453248295802625903	0 10 40 58 70 96 114 148 156 190 208 234 246 264 294 304	-219238710964
STPT(10)	2453248444898106179	0 2 42 44 60 62 78 80 120 122	-70143230688
STPT(10)	2453248674485545637	0 2 30 32 42 44 54 56 84 86	159444208770
SPT(16)	2453248714341907541	0 36 66 72 78 80 96 98 120 122 138 140 146 152 182 218	199300570674
SPT(16)	2453249144053353029	0 18 42 48 60 80 98 104 108 114 132 152 164 170 194 212	629012016162
SPT(16)	2453249335508014973	0 30 54 68 86 98 116 128 156 168 186 198 216 230 254 284	820466678106
STPT(12)	2453249430232805819	0 2 60 62 102 104 138 140 180 182 240 242	915191468952