Prime p₀= 2141944483949973509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 82 2 28 2 64 2 58 2 82 2 (?)
a_n: 0 2 48 50 132 134 162 164 228 230 288 290 372 374
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: 374
Found by: eclipse99
db: batch=80, k=14, 46 82 28 64 58 82

SPT(16)	2141943298911112271	0 2 38 78 116 176 212 236 252 276 312 372 410 450 486 488	-1185038861238
STPT(12)	2141943494817668357	0 2 12 14 30 32 72 74 90 92 102 104	-989132305152
SPT(16)	2141943763873300393	0 4 24 28 66 76 84 114 130 160 168 178 216 220 240 244	-720076673116
SPT(16)	2141943989336198917	0 16 36 60 70 90 94 106 114 126 130 150 160 184 204 220	-494613774592
STPT(10)	2141944071150273359	0 2 12 14 30 32 48 50 60 62	-412799700150
SPT(16)	2141944176481410013	0 4 10 60 70 136 154 186 208 240 258 324 334 384 390 394	-307468563496
STPT(10)	2141945170602131507	0 2 30 32 42 44 54 56 84 86	686652157998
STPT(10)	2141945955286489871	0 2 30 32 78 80 126 128 156 158	1471336516362
SPT(18)	2141945986804649461	0 16 18 22 28 36 72 78 108 190 220 226 262 270 276 280 282 298	1502854675952
SPT(16)	2141946079206087601	0 42 58 90 102 150 156 160 168 172 178 226 238 270 286 328	1595256114092
SPT(16)	2141947604617011979	0 28 34 102 118 144 228 354 358 484 568 594 610 678 684 712	3120667038470