Prime p₀= 1377278163334991369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 4 2 70 2 136 2 40 2 (?)
a_n: 0 2 90 92 132 134 138 140 210 212 348 350 390 392
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: 392
Found by: emoga
db: batch=77, k=14, 88 40 4 70 136 40

SPT(16)	1377276663982758589	0 4 78 112 114 120 124 154 198 228 232 238 240 274 348 352	-1499352232780
SPT(16)	1377276711984619829	0 48 50 54 62 74 84 110 132 158 168 180 188 192 194 242	-1451350371540
TPT(14)	1377276784149701957	0 2 30 32 42 44 144 146 174 176 222 224 252 254	-1379185289412
SPT(16)	1377276870312195547	0 4 6 22 60 84 126 144 172 190 232 256 294 310 312 316	-1293022795822
SPT(16)	1377276973775296129	0 12 40 42 84 90 132 144 148 160 202 208 250 252 280 292	-1189559695240
SPT(16)	1377277252475527411	0 22 40 66 130 162 180 220 222 262 280 312 376 402 420 442	-910859463958
SPT(16)	1377278621714286307	0 24 66 90 112 156 214 220 276 282 340 384 406 430 472 496	458379294938
SPT(16)	1377278732556907483	0 6 58 66 84 108 118 120 184 186 196 220 238 246 298 304	569221916114
STPT(10)	1377279027986140919	0 2 12 14 90 92 168 170 180 182	864651149550
SPT(16)	1377279053092025761	0 6 46 66 90 108 118 130 216 228 238 256 280 300 340 346	889757034392
SPT(16)	1377279334212110909	0 20 30 68 74 90 98 144 194 240 248 264 270 308 318 338	1170877119540