Prime p₀= 2453906597251854467 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 130 2 34 2 28 2 10 2 (?)
a_n: 0 2 60 62 72 74 204 206 240 242 270 272 282 284
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: JayPi
db: batch=82, k=14, 58 10 130 34 28 10

SPT(16)	2453903102156042791	0 16 36 60 90 108 132 190 198 256 280 298 328 352 372 388	-3495095811676
STPT(10)	2453903470253650871	0 2 30 32 78 80 126 128 156 158	-3126998203596
SPT(16)	2453904091816696459	0 10 54 70 100 154 174 240 244 310 330 384 414 430 474 484	-2505435158008
STPT(10)	2453904728719133321	0 2 30 32 78 80 126 128 156 158	-1868532721146
SPT(16)	2453905785120843811	0 6 10 120 130 132 136 150 172 186 190 192 202 312 316 322	-812131010656
SPT(16)	2453905976831571089	0 14 44 50 60 114 120 144 158 182 188 242 252 258 288 302	-620420283378
SPT(16)	2453906842655032279	0 48 78 88 130 132 162 168 232 238 268 270 312 322 352 400	245403177812
STPT(10)	2453907666336091739	0 2 42 44 90 92 138 140 180 182	1069084237272
SPT(16)	2453908291521333593	0 20 36 38 66 86 114 126 128 140 168 188 216 218 234 254	1694269479126
TPT(14)	2453908513451121509	0 2 102 104 168 170 180 182 198 200 210 212 222 224	1916199267042
SPT(16)	2453908527280228859	0 2 8 14 24 74 98 120 122 144 168 218 228 234 240 242	1930028374392