Prime p₀= 1855308507747037181 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 106 2 28 2 190 2 28 2 10 2 (?)
a_n: 0 2 18 20 126 128 156 158 348 350 378 380 390 392
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: 392
Found by: Paul
db: batch=79, k=14, 16 106 28 190 28 10

SPT(16)	1855307728267023607	0 10 22 30 66 96 100 106 156 162 166 196 232 240 252 262	-779480013574
SPT(16)	1855308041717978209	0 4 18 82 88 150 162 190 252 280 292 354 360 424 438 442	-466029058972
SPT(16)	1855308141998427037	0 4 34 94 136 162 166 336 340 510 514 540 582 642 672 676	-365748610144
STPT(10)	1855308215183409191	0 2 6 8 18 20 30 32 36 38	-292563627990
STPT(10)	1855308295033947119	0 2 42 44 60 62 78 80 120 122	-212713090062
SPT(16)	1855308472027663777	0 36 60 82 102 130 144 196 270 322 336 364 384 406 430 466	-35719373404
STPT(10)	1855308628273787129	0 2 18 20 60 62 102 104 120 122	120526749948
TPT(14)	1855308876189988871	0 2 78 80 108 110 150 152 198 200 246 248 306 308	368442951690
SPT(16)	1855309881615035669	0 18 20 48 68 74 110 158 174 222 258 264 284 312 314 332	1373867998488
SPT(16)	1855309927615646507	0 42 92 140 162 180 276 330 332 386 482 500 522 570 620 662	1419868609326
STPT(10)	1855310224570367567	0 2 30 32 60 62 90 92 120 122	1716823330386