Prime p₀= 2884496299739092877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 58 2 76 2 58 2 28 2 (?)
a_n: 0 2 42 44 54 56 114 116 192 194 252 254 282 284
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: Landjunge
db: batch=82, k=14, 40 10 58 76 58 28

SPT(16)	2884494861727639351	0 42 48 78 132 136 162 168 220 226 252 256 310 340 346 388	-1438011453526
SPT(16)	2884495055946040739	0 2 30 68 80 152 158 168 212 222 228 300 312 350 378 380	-1243793052138
STPT(12)	2884495141736201597	0 2 42 44 90 92 114 116 162 164 204 206	-1158002891280
SPT(16)	2884495376471828891	0 36 50 56 78 92 116 122 126 132 156 170 192 198 212 248	-923267263986
SPT(16)	2884496095705028663	0 6 18 48 66 110 126 140 144 158 174 218 236 266 278 284	-204034064214
SPT(16)	2884496169901442269	0 18 34 64 70 84 118 132 160 174 208 222 228 258 274 292	-129837650608
TPT(14)	2884496592629772089	0 2 48 50 90 92 102 104 138 140 168 170 228 230	292890679212
STPT(10)	2884496683594602689	0 2 18 20 30 32 42 44 60 62	383855509812
SPT(16)	2884496897309604919	0 4 18 40 82 88 108 130 132 154 174 180 222 244 258 262	597570512042
SPT(16)	2884497151380236713	0 34 54 66 76 84 90 166 168 244 250 258 268 280 300 334	851641143836
STPT(10)	2884497361214168681	0 2 36 38 78 80 120 122 156 158	1061475075804