Prime p₀= 2141012481010908221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 28 2 76 2 40 2 (?)
a_n: 0 2 66 68 96 98 138 140 168 170 246 248 288 290
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: [SG-2W]Kurzer
db: batch=80, k=14, 64 28 40 28 76 40

SPT(16)	2141010724339179997	0 16 72 82 84 90 94 120 196 222 226 232 234 244 300 316	-1756671728224
SPT(20)	2141010736317545537	0 2 26 32 90 96 102 110 126 176 180 230 246 254 260 266 324 330 354 356	-1744693362684
SPT(16)	2141010805221950539	0 22 30 48 72 100 108 114 118 124 132 160 184 202 210 232	-1675788957682
SPT(16)	2141011691623129609	0 60 70 78 120 130 144 148 264 268 282 292 334 342 352 412	-789387778612
SPT(16)	2141012035466879279	0 60 68 102 174 228 242 248 294 300 314 368 440 474 482 542	-445544028942
STPT(10)	2141012265811940501	0 2 30 32 78 80 126 128 156 158	-215198967720
SPT(16)	2141012689553450593	0 6 46 154 160 168 174 184 210 220 226 234 240 348 388 394	208542542372
STPT(10)	2141012728551011681	0 2 36 38 78 80 120 122 156 158	247540103460
SPT(16)	2141013214755008299	0 4 28 34 58 70 82 84 88 90 102 114 138 144 168 172	733744100078
STPT(10)	2141014014661353659	0 2 18 20 60 62 102 104 120 122	1533650445438
SPT(16)	2141014034001821743	0 30 64 84 120 154 160 174 220 234 240 274 310 330 364 394	1552990913522