Prime p₀= 779765842067806079 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 70 2 10 2 76 2 10 2 (?)
a_n: 0 2 12 14 48 50 120 122 132 134 210 212 222 224
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: 224
Found by: Frank [NT]
db: batch=73, k=14, 10 34 70 10 76 10

SPT(16)	779764629393835577	0 30 32 62 126 134 156 186 230 260 282 290 354 384 386 416	-1212673970502
SPT(16)	779764703086028797	0 12 54 60 90 100 112 114 142 144 156 166 196 202 244 256	-1138981777282
TPT(14)	779764713000648629	0 2 72 74 78 80 90 92 102 104 168 170 288 290	-1129067157450
STPT(10)	779764888247674697	0 2 30 32 42 44 54 56 84 86	-953820131382
SPT(20)	779765083257195569	0 78 80 98 122 144 182 204 224 228 314 318 338 360 398 420 444 462 464 542	-758810610510
STPT(10)	779765382231765899	0 2 12 14 90 92 168 170 180 182	-459836040180
SPT(16)	779766248800977569	0 48 68 74 84 120 158 162 200 204 242 278 288 294 314 362	406733171490
SPT(16)	779766294949883849	0 2 18 44 54 60 90 102 110 122 152 158 168 194 210 212	452882077770
SPT(16)	779766321228313603	0 6 34 48 60 70 78 160 204 286 294 304 316 330 358 364	479160507524
SPT(16)	779766322327775609	0 12 30 32 68 84 164 170 222 228 308 324 360 362 380 392	480259969530
TPT(14)	779766522874681007	0 2 12 14 54 56 84 86 162 164 204 206 240 242	680806874928