Prime p₀= 2782844629328011817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 76 2 10 2 58 2 70 2 76 2 (?)
a_n: 0 2 162 164 240 242 252 254 312 314 384 386 462 464
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: 464
Found by: [SG-FC] hl
db: batch=82, k=14, 160 76 10 58 70 76

SPT(16)	2782843560451369187	0 36 50 84 90 146 164 170 216 222 240 296 302 336 350 386	-1068876642630
SPT(16)	2782843890763889213	0 78 98 114 144 158 164 170 198 204 210 224 254 270 290 368	-738564122604
STPT(10)	2782843954360396007	0 2 54 56 72 74 90 92 144 146	-674967615810
SPT(16)	2782844041494586943	0 54 56 60 66 90 96 104 150 158 164 188 194 198 200 254	-587833424874
STPT(10)	2782844051647455737	0 2 54 56 132 134 210 212 264 266	-577680556080
SPT(20)	2782844178279770989	0 42 52 72 88 112 114 142 178 228 304 354 390 418 420 444 460 480 490 532	-451048240828
SPT(16)	2782844654288507489	0 32 48 80 120 128 150 162 170 182 204 212 252 284 300 332	24960495672
SPT(16)	2782844786387200369	0 28 52 90 120 132 190 234 238 282 340 352 382 420 444 472	157059188552
STPT(10)	2782845968691029009	0 2 18 20 30 32 42 44 60 62	1339363017192
TPT(14)	2782846174139778161	0 2 18 20 120 122 126 128 156 158 198 200 258 260	1544811766344
SPT(16)	2782846219923908629	0 18 22 60 88 100 102 138 154 190 192 204 232 270 274 292	1590595896812