Prime p₀= 2864532226770431837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 52 2 28 2 4 2 40 2 (?)
a_n: 0 2 72 74 90 92 144 146 174 176 180 182 222 224
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: 224
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 70 16 52 28 4 40

STPT(10)	2864531119107032069	0 2 30 32 60 62 90 92 120 122	-1107663399768
SPT(16)	2864531194170431239	0 12 42 88 168 172 220 280 282 342 390 394 474 520 550 562	-1032600000598
SPT(16)	2864531305355107363	0 40 54 78 84 108 150 178 180 208 250 274 280 304 318 358	-921415324474
STPT(10)	2864531468503118471	0 2 36 38 78 80 120 122 156 158	-758267313366
TPT(14)	2864531560377065771	0 2 78 80 90 92 108 110 126 128 150 152 216 218	-666393366066
SPT(16)	2864531611122073999	0 10 12 28 30 88 130 144 148 162 204 262 264 280 282 292	-615648357838
STPT(10)	2864532241083951047	0 2 30 32 42 44 54 56 84 86	14313519210
STPT(10)	2864532943608519707	0 2 30 32 42 44 54 56 84 86	716838087870
SPT(16)	2864532991476590983	0 48 94 106 108 154 178 238 246 306 330 376 378 390 436 484	764706159146
SPT(16)	2864533586699525347	0 34 52 76 90 126 154 192 274 312 340 376 390 414 432 466	1359929093510
STPT(10)	2864533609271076437	0 2 30 32 60 62 90 92 120 122	1382500644600