Prime p₀= 1121559524828418449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 76 2 16 2 28 2 22 2 (?)
a_n: 0 2 90 92 102 104 180 182 198 200 228 230 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 88 10 76 16 28 22

SPT(16)	1121558256765888671	0 32 38 60 80 120 126 146 162 182 188 228 248 270 276 308	-1268062529778
STPT(10)	1121558536744200557	0 2 30 32 72 74 114 116 144 146	-988084217892
SPT(16)	1121558666842634231	0 2 12 38 60 78 128 206 282 360 410 428 450 476 486 488	-857985784218
STPT(10)	1121558928018368687	0 2 12 14 42 44 72 74 84 86	-596810049762
SPT(16)	1121559041904128237	0 2 36 50 56 102 104 144 212 252 254 300 306 320 354 356	-482924290212
STPT(10)	1121559070987669817	0 2 24 26 42 44 60 62 84 86	-453840748632
SPT(16)	1121559631259240143	0 6 46 64 66 126 130 136 144 150 154 214 216 234 274 280	106430821694
SPT(16)	1121559768482322341	0 18 20 30 126 170 200 212 216 228 258 302 398 408 410 428	243653903892
STPT(10)	1121559905777451377	0 2 30 32 42 44 54 56 84 86	380949032928
SPT(16)	1121560216687041167	0 14 44 80 84 86 102 114 122 134 150 152 156 192 222 236	691858622718
SPT(16)	1121560762457613433	0 16 36 40 48 54 64 96 148 180 190 196 204 208 228 244	1237629194984