Prime p₀= 1314033746457238241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 142 2 28 2 4 2 28 2 (?)
a_n: 0 2 30 32 66 68 210 212 240 242 246 248 276 278
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: 278
Found by: szymmirr
db: batch=77, k=14, 28 34 142 28 4 28

SPT(16)	1314032555904187291	0 6 16 58 60 78 106 130 228 252 280 298 300 342 352 358	-1190553050950
TPT(14)	1314032641720932449	0 2 42 44 120 122 138 140 162 164 198 200 240 242	-1104736305792
SPT(16)	1314032747646363317	0 60 72 84 86 102 144 146 180 182 224 240 242 254 266 326	-998810874924
SPT(16)	1314032996913827999	0 30 32 68 128 132 198 212 228 242 308 312 372 408 410 440	-749543410242
STPT(10)	1314033520315355891	0 2 6 8 18 20 30 32 36 38	-226141882350
SPT(16)	1314033725244989179	0 22 40 70 112 114 118 132 190 204 208 210 252 282 300 322	-21212249062
SPT(16)	1314033804721876243	0 36 40 66 78 88 120 148 168 196 228 238 250 276 280 316	58264638002
SPT(16)	1314033947299029419	0 14 60 74 80 84 114 140 168 194 224 228 234 248 294 308	200841791178
STPT(10)	1314034787300153801	0 2 36 38 78 80 120 122 156 158	1040842915560
SPT(16)	1314034849266112811	0 6 8 32 48 62 78 96 182 200 216 230 246 270 272 278	1102808874570
STPT(10)	1314034860503642309	0 2 42 44 90 92 138 140 180 182	1114046404068