Prime p₀= 2218928089217779319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 22 2 16 2 28 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 90 92 120 122 162 164
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: 164
Found by: JayPi
db: batch=81, k=14, 40 4 22 16 28 40

SPT(16)	2218927134210186041	0 98 110 188 246 266 300 302 306 308 342 362 420 498 510 608	-955007593278
SPT(16)	2218927262144050433	0 6 44 48 66 84 98 120 134 156 170 188 206 210 248 254	-827073728886
SPT(16)	2218927356031701043	0 58 106 150 166 208 234 268 276 310 336 378 394 438 486 544	-733186078276
SPT(16)	2218927459628715053	0 26 36 66 98 116 126 140 204 218 228 246 278 308 318 344	-629589064266
SPT(16)	2218928020099664669	0 12 38 42 90 98 110 120 122 132 144 152 200 204 230 242	-69118114650
SPT(16)	2218928060028537059	0 54 80 104 122 164 170 222 242 294 300 342 360 384 410 464	-29189242260
STPT(10)	2218928787383792327	0 2 30 32 42 44 54 56 84 86	698166013008
STPT(10)	2218928840206333427	0 2 12 14 42 44 72 74 84 86	750988554108
TPT(14)	2218928888565613877	0 2 42 44 72 74 132 134 144 146 174 176 204 206	799347834558
SPT(16)	2218928943037795097	0 20 44 104 170 176 204 272 324 392 420 426 492 552 576 596	853820015778
SPT(16)	2218929137587987091	0 12 38 72 108 116 122 152 156 186 192 200 236 270 296 308	1048370207772