Prime p₀= 3235339145682659369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 100 2 64 2 52 2 4 2 40 2 (?)
a_n: 0 2 30 32 132 134 198 200 252 254 258 260 300 302
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: 302
Found by: rebel9
db: batch=83, k=14, 28 100 64 52 4 40

SPT(16)	3235337805895673651	0 38 42 66 110 158 176 180 188 192 210 258 302 326 330 368	-1339786985718
SPT(16)	3235337934024560261	0 8 18 20 42 60 120 122 126 128 188 206 228 230 240 248	-1211658099108
STPT(10)	3235338177109924889	0 2 48 50 90 92 132 134 180 182	-968572734480
SPT(16)	3235338239931848053	0 28 94 120 154 178 216 238 246 268 306 330 364 390 456 484	-905750811316
SPT(16)	3235338958874031547	0 40 54 66 130 184 192 214 222 244 252 306 370 382 396 436	-186808627822
SPT(16)	3235339007084053211	0 6 90 96 102 128 156 158 180 182 210 236 242 248 332 338	-138598606158
SPT(16)	3235339547143944997	0 22 42 52 64 70 130 144 172 186 246 252 264 274 294 316	401461285628
SPT(16)	3235339606990470787	0 22 34 64 156 166 184 190 216 222 240 250 342 372 384 406	461307811418
SPT(16)	3235340041031969407	0 6 42 66 82 96 130 166 180 216 250 264 280 304 340 346	895349310038
SPT(16)	3235340133178520399	0 2 14 32 50 114 134 152 330 348 368 432 450 468 480 482	987495861030
SPT(16)	3235340139434507737	0 12 24 36 40 90 96 132 154 190 196 246 250 262 274 286	993751848368