Prime p₀= 740655238338938147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 22 2 28 2 154 2 88 2 (?)
a_n: 0 2 24 26 30 32 54 56 84 86 240 242 330 332
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: 332
Found by: Theadalus
db: batch=73, k=14, 22 4 22 28 154 88

SPT(16)	740654899163543179	0 28 70 88 90 102 124 138 154 168 190 202 204 222 264 292	-339175394968
SPT(16)	740654945102570677	0 4 6 60 72 76 106 142 144 180 210 214 226 280 282 286	-293236367470
SPT(16)	740654957714783669	0 8 20 38 60 120 134 140 252 258 272 332 354 372 384 392	-280624154478
TPT(14)	740654960105226707	0 2 72 74 114 116 132 134 144 146 204 206 210 212	-278233711440
STPT(10)	740654982091675577	0 2 12 14 132 134 252 254 264 266	-256247262570
SPT(16)	740655174846807503	0 26 66 84 90 110 150 194 210 254 294 314 320 338 378 404	-63492130644
STPT(10)	740655339463813391	0 2 36 38 78 80 120 122 156 158	101124875244
SPT(16)	740655508070229019	0 22 28 34 58 100 102 120 142 160 162 204 228 234 240 262	269731290872
SPT(16)	740655831796321393	0 10 40 78 108 120 210 234 280 304 394 406 436 474 504 514	593457383246
TPT(16)	740655981162123527	0 2 12 14 42 44 54 56 114 116 144 146 174 176 270 272	742823185380
SPT(16)	740656156586290117	0 66 90 154 160 186 192 202 264 274 280 306 312 376 400 466	918247351970