Prime p₀= 1121911147337328611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 118 2 10 2 16 2 28 2 (?)
a_n: 0 2 6 8 48 50 168 170 180 182 198 200 228 230
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: 230
Found by: Theadalus
db: batch=76, k=14, 4 40 118 10 16 28

SPT(16)	1121910292421620363	0 18 28 34 36 54 96 106 138 148 190 208 210 216 226 244	-854915708248
SPT(16)	1121910367575632227	0 4 10 40 54 82 94 112 162 180 192 220 234 264 270 274	-779761696384
STPT(10)	1121910517459124147	0 2 42 44 72 74 102 104 144 146	-629878204464
SPT(16)	1121910589078620349	0 10 22 30 52 60 72 94 120 142 154 162 184 192 204 214	-558258708262
STPT(10)	1121910594827518409	0 2 42 44 90 92 138 140 180 182	-552509810202
SPT(16)	1121910836845294753	0 24 34 54 64 108 130 138 160 168 190 234 244 264 274 298	-310492033858
SPT(16)	1121911217438976539	0 32 78 110 204 222 254 264 368 378 410 428 522 554 600 632	70101647928
SPT(16)	1121911518014601751	0 16 52 76 118 138 142 156 202 216 220 240 282 306 342 358	370677273140
SPT(16)	1121911536647685347	0 14 26 72 110 114 126 144 152 170 182 186 224 270 282 296	389310356736
SPT(16)	1121911592349829103	0 8 18 44 78 86 110 116 138 144 168 176 210 236 246 254	445012500492
SPT(16)	1121911896463605503	0 48 78 128 138 168 180 194 240 254 266 296 306 356 386 434	749126276892