Prime p₀= 2836850843134172999 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 130 2 10 2 64 2 28 2 58 2 (?)
a_n: 0 2 78 80 210 212 222 224 288 290 318 320 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 76 130 10 64 28 58

SPT(16)	2836848197461237541	0 18 36 96 150 192 200 206 222 228 236 278 332 392 410 428	-2645672935458
SPT(16)	2836848357628893007	0 10 36 52 64 72 100 102 154 156 184 192 204 220 246 256	-2485505279992
SPT(16)	2836848546802238359	0 4 34 84 88 100 144 150 202 208 252 264 268 318 348 352	-2296331934640
SPT(16)	2836848961305279619	0 10 34 48 52 84 88 144 208 264 268 300 304 318 342 352	-1881828893380
TPT(14)	2836849640561383001	0 2 36 38 60 62 90 92 120 122 126 128 228 230	-1202572789998
STPT(10)	2836849850604735809	0 2 18 20 30 32 42 44 60 62	-992529437190
STPT(10)	2836851109351073819	0 2 42 44 90 92 138 140 180 182	266216900820
TPT(14)	2836851151204675217	0 2 54 56 84 86 114 116 174 176 240 242 252 254	308070502218
SPT(16)	2836851221976082279	0 24 40 72 198 220 222 244 258 280 282 304 430 462 478 502	378841909280
STPT(10)	2836851227219458121	0 2 30 32 78 80 126 128 156 158	384085285122
SPT(16)	2836851418970784833	0 78 114 140 150 164 210 288 296 374 420 434 444 470 506 584	575836611834