Prime p₀= 2732106003680346437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 16 2 28 2 130 2 46 2 220 2 (?)
a_n: 0 2 84 86 102 104 132 134 264 266 312 314 534 536
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: 536
Found by: JayPi
db: batch=82, k=14, 82 16 28 130 46 220

SPT(16)	2732103913675002017	0 60 74 110 114 120 140 144 152 156 176 182 186 222 236 296	-2090005344420
STPT(10)	2732104459624648637	0 2 12 14 42 44 72 74 84 86	-1544055697800
SPT(16)	2732104496445537091	0 16 28 40 58 60 90 126 202 238 268 270 288 300 312 328	-1507234809346
SPT(16)	2732105163700939627	0 34 60 154 196 220 306 360 406 460 546 570 612 706 732 766	-839979406810
SPT(16)	2732105170533578779	0 18 30 58 70 88 114 144 154 184 210 228 240 268 280 298	-833146767658
STPT(10)	2732105545658478959	0 2 12 14 30 32 48 50 60 62	-458021867478
SPT(16)	2732106213541440767	0 30 80 146 176 180 182 192 194 204 206 210 240 306 356 386	209861094330
SPT(16)	2732106333894994219	0 28 60 70 88 94 108 118 144 154 168 174 192 202 234 262	330214647782
STPT(10)	2732106665143871591	0 2 36 38 78 80 120 122 156 158	661463525154
STPT(10)	2732106760231652801	0 2 6 8 48 50 90 92 96 98	756551306364
SPT(16)	2732106788165709103	0 4 94 108 118 144 160 168 196 204 220 246 256 270 360 364	784485362666