Prime p₀= 865940007964926731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 106 2 10 2 10 2 28 2 46 2 (?)
a_n: 0 2 48 50 156 158 168 170 180 182 210 212 258 260
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: 260
Found by: RFGuy_KCCO
db: batch=73, k=14, 46 106 10 10 28 46

SPT(16)	865938016770840619	0 30 58 64 72 78 84 90 112 118 124 130 138 144 172 202	-1991194086112
STPT(10)	865938265181383127	0 2 24 26 42 44 60 62 84 86	-1742783543604
SPT(16)	865938486071601541	0 42 76 78 100 112 120 132 196 208 216 228 250 252 286 328	-1521893325190
STPT(10)	865938900882400901	0 2 6 8 48 50 90 92 96 98	-1107082525830
SPT(16)	865939614682824301	0 12 22 36 42 46 60 70 198 208 222 226 232 246 256 268	-393282102430
STPT(12)	865939902300052157	0 2 12 14 30 32 114 116 132 134 144 146	-105664874574
SPT(18)	865940109870195571	0 18 22 40 46 96 100 106 126 142 162 168 172 222 228 246 250 268	101905268840
STPT(10)	865940534644729547	0 2 54 56 132 134 210 212 264 266	526679802816
SPT(16)	865941371036427289	0 22 28 52 58 64 114 130 252 268 318 324 330 354 360 382	1363071500558
SPT(16)	865942007908207481	0 20 60 98 110 150 188 228 272 312 350 390 402 440 480 500	1999943280750
TPT(14)	865942170223205189	0 2 30 32 48 50 72 74 78 80 132 134 162 164	2162258278458