Prime p₀= 1006221206676288269 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 118 2 88 2 46 2 106 2 (?)
a_n: 0 2 30 32 42 44 162 164 252 254 300 302 408 410
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: 410
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 28 10 118 88 46 106

SPT(16)	1006220359494607273	0 16 18 58 60 64 66 78 136 148 150 154 156 196 198 214	-847181680996
STPT(10)	1006220543118487127	0 2 12 14 72 74 132 134 144 146	-663557801142
SPT(16)	1006220773516053839	0 18 24 50 80 84 104 132 200 228 248 252 282 308 314 332	-433160234430
STPT(10)	1006220815087496507	0 2 42 44 72 74 102 104 144 146	-391588791762
STPT(10)	1006220886511233227	0 2 30 32 102 104 174 176 204 206	-320165055042
STPT(10)	1006221058541991371	0 2 30 32 78 80 126 128 156 158	-148134296898
STPT(10)	1006221330380811791	0 2 36 38 78 80 120 122 156 158	123704523522
SPT(16)	1006221377417502451	0 6 22 28 78 102 160 192 196 228 286 310 360 366 382 388	170741214182
SPT(16)	1006221609210129079	0 4 70 84 102 144 160 162 172 174 190 232 250 264 330 334	402533840810
STPT(10)	1006221689050568411	0 2 36 38 78 80 120 122 156 158	482374280142
SPT(18)	1006221790435072397	0 32 42 44 50 54 86 114 134 222 242 270 302 306 312 314 324 356	583758784128