Prime p₀= 2411978277855892619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 124 2 28 2 52 2 28 2 (?)
a_n: 0 2 18 20 42 44 168 170 198 200 252 254 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 16 22 124 28 52 28

SPT(16)	2411976683353376057	0 6 24 32 36 146 156 174 242 260 270 380 384 392 410 416	-1594502516562
STPT(10)	2411976778640362889	0 2 48 50 90 92 132 134 180 182	-1499215529730
SPT(16)	2411977067850640051	0 66 82 112 156 168 186 222 256 292 310 322 366 396 412 478	-1210005252568
STPT(10)	2411977376241962831	0 2 30 32 78 80 126 128 156 158	-901613929788
STPT(10)	2411977399222641317	0 2 12 14 42 44 72 74 84 86	-878633251302
SPT(13)	2411977714368296369	0 42 60 72 78 102 120 138 162 168 180 198 240	-563487596250
STPT(10)	2411978298873750107	0 2 12 14 72 74 132 134 144 146	21017857488
STPT(10)	2411978304079635167	0 2 30 32 60 62 90 92 120 122	26223742548
TPT(14)	2411978602062517247	0 2 12 14 84 86 132 134 144 146 282 284 354 356	324206624628
TPT(14)	2411978723456960657	0 2 24 26 42 44 60 62 72 74 114 116 192 194	445601068038
SPT(16)	2411979365333469751	0 46 58 70 72 88 96 102 106 112 120 136 138 150 162 208	1087477577132