Prime p₀= 1905385107293703641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 76 2 40 2 130 2 94 2 22 2 (?)
a_n: 0 2 48 50 126 128 168 170 300 302 396 398 420 422
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: 422
Found by: Landjunge
db: batch=80, k=14, 46 76 40 130 94 22

SPT(16)	1905383639986604501	0 6 12 86 110 122 180 206 282 308 366 378 402 476 482 488	-1467307099140
STPT(10)	1905383872344017237	0 2 12 14 72 74 132 134 144 146	-1234949686404
STPT(10)	1905383981903920631	0 2 36 38 78 80 120 122 156 158	-1125389783010
STPT(10)	1905384478140013469	0 2 18 20 30 32 42 44 60 62	-629153690172
SPT(16)	1905384518490395993	0 30 44 56 78 86 120 134 150 164 198 206 228 240 254 284	-588803307648
SPT(16)	1905384724095353819	0 44 54 62 90 120 132 138 164 170 182 212 240 248 258 302	-383198349822
TPT(14)	1905385671145419107	0 2 12 14 72 74 84 86 150 152 162 164 192 194	563851715466
SPT(16)	1905385898562211151	0 6 36 60 62 80 98 126 182 210 228 246 248 272 302 308	791268507510
SPT(16)	1905386113926179987	0 26 56 72 110 156 180 224 282 326 350 396 434 450 480 506	1006632476346
SPT(13)	1905386456306677661	0 48 72 102 108 132 150 168 192 198 228 252 300	1349012974020
SPT(18)	1905386528052921247	0 6 22 24 36 46 52 76 112 144 180 204 210 220 232 234 250 256	1420759217606