Prime p₀= 1585961934296683289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 16 2 16 2 22 2 64 2 28 2 (?)
a_n: 0 2 132 134 150 152 168 170 192 194 258 260 288 290
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: 290
Found by: emoga
db: batch=78, k=14, 130 16 16 22 64 28

TPT(14)	1585961160714608057	0 2 30 32 84 86 120 122 132 134 252 254 282 284	-773582075232
STPT(10)	1585961293553050187	0 2 54 56 72 74 90 92 144 146	-640743633102
STPT(10)	1585961339962040939	0 2 18 20 30 32 42 44 60 62	-594334642350
SPT(16)	1585961401385661571	0 22 40 66 90 120 130 148 150 168 178 208 232 258 276 298	-532911021718
SPT(13)	1585961686120274677	0 30 54 60 84 96 120 144 156 180 186 210 240	-248176408612
SPT(16)	1585961825932477603	0 58 88 108 150 180 190 208 210 228 238 268 310 330 360 418	-108364205686
SPT(16)	1585962184698291139	0 12 18 28 60 64 82 94 138 150 168 172 204 214 220 232	250401607850
STPT(10)	1585962207376979951	0 2 30 32 78 80 126 128 156 158	273080296662
SPT(16)	1585962302592079897	0 52 106 136 150 156 162 172 174 184 190 196 210 240 294 346	368295396608
SPT(16)	1585962376737027319	0 4 10 24 42 72 78 184 198 304 310 340 358 372 378 382	442440344030
SPT(16)	1585962543061290701	0 68 86 90 126 168 206 216 290 300 338 380 416 420 438 506	608764607412