Prime p₀= 2827000028630633099 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 94 2 10 2 46 2 40 2 (?)
a_n: 0 2 12 14 72 74 168 170 180 182 228 230 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 10 58 94 10 46 40

TPT(14)	2826999178986797159	0 2 78 80 102 104 132 134 288 290 300 302 372 374	-849643835940
TPT(14)	2826999494267248847	0 2 84 86 120 122 150 152 204 206 222 224 240 242	-534363384252
TPT(14)	2826999565855601489	0 2 12 14 108 110 150 152 192 194 222 224 372 374	-462775031610
SPT(16)	2826999792992176223	0 8 24 56 74 90 116 170 204 258 284 300 318 350 366 374	-235638456876
SPT(16)	2826999853821286189	0 34 72 90 100 112 124 184 228 288 300 312 322 340 378 412	-174809346910
SPT(16)	2827000012032465371	0 12 36 56 60 86 92 102 110 120 126 152 156 176 200 212	-16598167728
SPT(16)	2827000156708052621	0 30 38 72 90 92 132 162 176 206 246 248 266 300 308 338	128077419522
SPT(16)	2827000706132670547	0 36 72 106 126 132 154 156 160 162 184 190 210 244 280 316	677502037448
STPT(10)	2827000741794286427	0 2 30 32 42 44 54 56 84 86	713163653328
SPT(16)	2827001192380088897	0 20 42 54 60 90 134 150 176 192 236 266 272 284 306 326	1163749455798
SPT(16)	2827001618572771001	0 18 26 48 68 96 110 150 176 216 230 258 278 300 308 326	1589942137902