Prime p₀= 2239312210117310897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 40 2 40 2 76 2 16 2 (?)
a_n: 0 2 30 32 90 92 132 134 174 176 252 254 270 272
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: 272
Found by: Penguin
db: batch=81, k=14, 28 58 40 40 76 16

SPT(16)	2239310671961916023	0 74 84 126 128 144 146 150 164 168 170 186 188 230 240 314	-1538155394874
SPT(16)	2239310853101023277	0 2 30 56 86 104 120 122 174 176 192 210 240 266 294 296	-1357016287620
SPT(16)	2239311000648554909	0 20 24 62 74 90 102 164 168 230 242 258 270 308 312 332	-1209468755988
STPT(10)	2239311342253609331	0 2 36 38 78 80 120 122 156 158	-867863701566
STPT(10)	2239311977186123129	0 2 42 44 90 92 138 140 180 182	-232931187768
STPT(10)	2239312197531476099	0 2 42 44 90 92 138 140 180 182	-12585834798
SPT(16)	2239312474797129481	0 12 66 88 102 112 136 168 190 222 246 256 270 292 346 358	264679818584
STPT(10)	2239312760167753181	0 2 6 8 18 20 30 32 36 38	550050442284
SPT(16)	2239313190397667717	0 72 114 224 240 302 350 380 384 414 462 524 540 650 692 764	980280356820
STPT(10)	2239313334418835957	0 2 60 62 102 104 144 146 204 206	1124301525060
SPT(16)	2239313600867517679	0 52 148 162 168 172 190 192 250 252 270 274 280 294 390 442	1390750206782