Prime p₀= 2612123542728116159 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 108 110 138 140 150 152 198 200 210 212 240 242
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: 242
Found by: [SG-FC] hl
db: batch=82, k=14, 106 28 10 46 10 28

SPT(16)	2612121951383289557	0 6 36 62 90 92 122 150 182 210 240 242 270 296 326 332	-1591344826602
SPT(16)	2612121983303241517	0 36 52 64 66 114 136 142 174 180 202 250 252 264 280 316	-1559424874642
SPT(16)	2612122294765230409	0 54 78 84 108 112 138 144 148 154 180 184 208 214 238 292	-1247962885750
TPT(14)	2612122307739299099	0 2 90 92 120 122 180 182 222 224 288 290 318 320	-1234988817060
STPT(12)	2612123103910479629	0 2 30 32 42 44 108 110 120 122 150 152	-438817636530
SPT(16)	2612123148215849221	0 10 46 66 88 126 142 148 150 156 172 210 232 252 288 298	-394512266938
STPT(12)	2612123542728116267	0 2 30 32 42 44 90 92 102 104 132 134	108
STPT(10)	2612123737428251819	0 2 48 50 90 92 132 134 180 182	194700135660
STPT(10)	2612123770287385199	0 2 18 20 30 32 42 44 60 62	227559269040
STPT(10)	2612123784798726461	0 2 6 8 48 50 90 92 96 98	242070610302
TPT(14)	2612123841149963531	0 2 30 32 96 98 156 158 198 200 210 212 276 278	298421847372