Prime p₀= 2161160235196444217 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 52 2 118 2 28 2 28 2 16 2 (?)
a_n: 0 2 30 32 84 86 204 206 234 236 264 266 282 284
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: Landjunge
db: batch=81, k=14, 28 52 118 28 28 16

SPT(16)	2161158344807645653	0 10 16 18 28 70 94 106 108 120 144 186 196 198 204 214	-1890388798564
SPT(16)	2161158472008867679	0 10 18 22 52 84 138 154 228 244 298 330 360 364 372 382	-1763187576538
SPT(16)	2161158726570710863	0 16 58 64 84 90 96 124 150 178 184 190 210 216 258 274	-1508625733354
STPT(10)	2161158953929512737	0 2 54 56 72 74 90 92 144 146	-1281266931480
STPT(10)	2161159005698401127	0 2 42 44 72 74 102 104 144 146	-1229498043090
SPT(16)	2161159635953381051	0 20 48 120 128 146 170 228 230 288 312 330 338 410 438 458	-599243063166
STPT(10)	2161160371358446721	0 2 6 8 48 50 90 92 96 98	136162002504
STPT(10)	2161160620041906137	0 2 30 32 72 74 114 116 144 146	384845461920
SPT(16)	2161161424479309913	0 6 40 100 126 136 150 156 160 166 180 190 216 276 310 316	1189282865696
SPT(16)	2161161628053467719	0 4 28 42 88 120 198 240 262 304 382 414 460 474 498 502	1392857023502
SPT(16)	2161161791988438269	0 8 18 32 42 92 120 140 162 182 210 260 270 284 294 302	1556791994052