Prime p₀= 3015783233005138619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 64 2 100 2 10 2 (?)
a_n: 0 2 18 20 60 62 102 104 168 170 270 272 282 284
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: 284
Found by: Dirk Broer
db: batch=82, k=14, 16 40 40 64 100 10

SPT(16)	3015780702624155413	0 24 28 58 70 100 106 126 178 198 204 234 246 276 280 304	-2530380983206
SPT(16)	3015781216899084787	0 6 24 30 40 46 84 112 114 142 180 186 196 202 220 226	-2016106053832
SPT(16)	3015781347616542053	0 24 38 90 126 138 146 198 206 258 266 278 314 366 380 404	-1885388596566
SPT(16)	3015781769703044873	0 18 44 90 128 180 194 198 266 270 284 336 374 420 446 464	-1463302093746
TPT(14)	3015782027449990151	0 2 6 8 36 38 150 152 168 170 246 248 330 332	-1205555148468
SPT(16)	3015782151671930939	0 50 90 110 114 128 138 188 204 254 264 278 282 302 342 392	-1081333207680
SPT(16)	3015783513342849583	0 6 36 66 90 124 180 204 220 244 300 334 358 388 418 424	280337710964
SPT(16)	3015783554264175889	0 10 42 52 88 112 120 130 150 160 168 192 228 238 270 280	321259037270
STPT(10)	3015783793662793367	0 2 30 32 42 44 54 56 84 86	560657654748
SPT(16)	3015784013171012189	0 12 42 68 78 204 212 264 308 360 368 494 504 530 560 572	780165873570
SPT(16)	3015784278672014533	0 4 6 28 46 48 54 94 120 160 166 168 186 208 210 214	1045666875914