Prime p₀= 1232956509917866961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 100 2 40 2 64 2 40 2 (?)
a_n: 0 2 36 38 66 68 168 170 210 212 276 278 318 320
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: 320
Found by: vinn@[CNT]
db: batch=77, k=14, 34 28 100 40 64 40

SPT(16)	1232955287442991811	0 48 90 102 140 212 266 282 326 342 396 468 506 518 560 608	-1222474875150
SPT(16)	1232955661033504831	0 10 12 36 40 66 90 106 126 142 166 192 196 220 222 232	-848884362130
SPT(16)	1232956062039343319	0 2 20 60 90 98 104 110 132 138 144 152 182 222 240 242	-447878523642
SPT(16)	1232956123424847223	0 10 70 78 96 106 108 156 160 208 210 220 238 246 306 316	-386493019738
SPT(16)	1232956127541881383	0 28 34 70 76 84 90 114 130 154 160 168 174 210 216 244	-382375985578
STPT(10)	1232956332788114027	0 2 30 32 60 62 90 92 120 122	-177129752934
SPT(16)	1232956970528186357	0 6 56 116 126 180 182 234 392 444 446 500 510 570 620 626	460610319396
STPT(10)	1232956981506922667	0 2 30 32 72 74 114 116 144 146	471589055706
STPT(10)	1232957131501907267	0 2 30 32 42 44 54 56 84 86	621584040306
STPT(10)	1232957309143733219	0 2 12 14 90 92 168 170 180 182	799225866258
SPT(16)	1232957433375567401	0 66 102 120 126 132 138 176 192 230 236 242 248 266 302 368	923457700440