Prime p₀= 2583208278177096221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 28 2 106 2 70 2 28 2 (?)
a_n: 0 2 66 68 168 170 198 200 306 308 378 380 408 410
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: 410
Found by: RFGuy_KCCO
db: batch=82, k=14, 64 100 28 106 70 28

SPT(16)	2583206295018578477	0 20 42 80 92 114 120 122 132 134 140 162 174 212 234 254	-1983158517744
STPT(10)	2583206777327854001	0 2 36 38 78 80 120 122 156 158	-1500849242220
SPT(20)	2583206801736198797	0 54 80 222 306 350 390 434 440 474 482 516 522 566 606 650 734 876 902 956	-1476440897424
SPT(16)	2583207167133103529	0 18 50 54 74 84 98 132 140 174 188 198 218 222 254 272	-1111043992692
SPT(16)	2583207412065657763	0 36 88 114 124 144 156 166 168 178 190 210 220 246 298 334	-866111438458
STPT(10)	2583207482991287651	0 2 36 38 78 80 120 122 156 158	-795185808570
STPT(10)	2583208526482610207	0 2 30 32 42 44 54 56 84 86	248305513986
SPT(16)	2583208787701332701	0 30 162 180 182 206 210 228 260 278 282 306 308 326 458 488	509524236480
STPT(10)	2583209109170409617	0 2 60 62 102 104 144 146 204 206	830993313396
SPT(16)	2583209140751197297	0 10 22 30 52 120 124 136 180 192 196 264 286 294 306 316	862574101076
SPT(16)	2583209672262171697	0 6 12 94 114 120 132 154 162 184 196 202 222 304 310 316	1394085075476