Prime p₀= 2527980783918317657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 238 2 16 2 40 2 (?)
a_n: 0 2 24 26 42 44 54 56 294 296 312 314 354 356
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: 356
Found by: JayPi
db: batch=82, k=14, 22 16 10 238 16 40

SPT(16)	2527979534229442907	0 50 66 74 122 146 152 162 164 174 180 204 252 260 276 326	-1249688874750
SPT(16)	2527980342411657557	0 26 42 56 74 86 110 114 182 186 210 222 240 254 270 296	-441506660100
STPT(10)	2527980353101311737	0 2 30 32 72 74 114 116 144 146	-430817005920
SPT(16)	2527980465083294813	0 14 54 60 98 104 126 138 146 158 180 186 224 230 270 284	-318835022844
STPT(10)	2527980705147440351	0 2 6 8 48 50 90 92 96 98	-78770877306
TPT(14)	2527980705257725931	0 2 36 38 48 50 66 68 78 80 90 92 120 122	-78660591726
SPT(16)	2527980839708326259	0 8 24 38 80 98 104 180 188 264 270 288 330 344 360 368	55790008602
SPT(16)	2527981322977557199	0 4 18 34 64 70 90 112 120 142 162 168 198 214 228 232	539059239542
SPT(16)	2527981456052261831	0 42 66 108 128 180 206 240 248 282 308 360 380 422 446 488	672133944174
STPT(10)	2527981869333339239	0 2 18 20 30 32 42 44 60 62	1085415021582
STPT(10)	2527981887020701997	0 2 12 14 72 74 132 134 144 146	1103102384340