Prime p₀= 2751828000860397617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 28 2 76 2 16 2 10 2 (?)
a_n: 0 2 72 74 114 116 144 146 222 224 240 242 252 254
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: 254
Found by: [SG-FC] hl
db: batch=82, k=14, 70 40 28 76 16 10

SPT(16)	2751826401808367603	0 14 18 24 38 74 80 96 128 144 150 186 200 206 210 224	-1599052030014
SPT(16)	2751826631436718153	0 24 28 36 58 96 114 120 154 160 178 216 238 246 250 274	-1369423679464
SPT(16)	2751826793440856707	0 6 16 64 112 130 190 262 294 366 426 444 492 540 550 556	-1207419540910
SPT(16)	2751827081268233851	0 36 42 70 78 88 126 130 138 142 180 190 198 226 232 268	-919592163766
SPT(16)	2751827430086896111	0 58 108 166 168 208 228 238 408 418 438 478 480 538 588 646	-570773501506
STPT(10)	2751827640840197807	0 2 24 26 42 44 60 62 84 86	-360020199810
STPT(10)	2751828338487646667	0 2 30 32 42 44 54 56 84 86	337627249050
SPT(16)	2751828920704072721	0 26 98 110 122 152 162 176 282 296 306 336 348 360 432 458	919843675104
TPT(14)	2751828996897313217	0 2 54 56 120 122 150 152 234 236 252 254 300 302	996036915600
SPT(16)	2751829039442848559	0 18 38 74 110 120 140 150 152 162 182 192 228 264 284 302	1038582450942
SPT(16)	2751829067749050073	0 30 94 108 114 154 168 178 186 196 210 250 256 270 334 364	1066888652456