Prime p₀= 780907613355349847 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 76 2 70 2 16 2 10 2 (?)
a_n: 0 2 12 14 54 56 132 134 204 206 222 224 234 236
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: 236
Found by: [SG]steini
db: batch=73, k=14, 10 40 76 70 16 10

SPT(18)	780906490993202627	0 26 44 96 162 170 176 180 204 362 386 390 396 404 470 522 540 566	-1122362147220
SPT(16)	780906682631364167	0 62 92 120 140 176 204 216 230 242 270 306 326 354 384 446	-930723985680
STPT(12)	780906775860328301	0 2 18 20 90 92 198 200 270 272 288 290	-837495021546
SPT(16)	780906827697800059	0 34 48 58 60 72 78 88 114 124 130 142 144 154 168 202	-785657549788
STPT(10)	780906982246284209	0 2 42 44 120 122 198 200 240 242	-631109065638
SPT(16)	780907520909859281	0 38 72 120 126 152 222 236 252 266 336 362 368 416 450 488	-92445490566
SPT(16)	780907626639490081	0 6 12 18 28 36 78 88 120 130 172 180 190 196 202 208	13284140234
STPT(10)	780907939463741987	0 2 60 62 72 74 84 86 144 146	326108392140
STPT(10)	780908418112687607	0 2 12 14 42 44 72 74 84 86	804757337760
STPT(10)	780908573166722981	0 2 36 38 78 80 120 122 156 158	959811373134
SPT(16)	780908724251399869	0 34 54 60 72 94 124 168 184 228 258 280 292 298 318 352	1110896050022