Prime p₀= 1167637562521163579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 10 2 64 2 58 2 112 2 (?)
a_n: 0 2 18 20 60 62 72 74 138 140 198 200 312 314
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: 314
Found by: xii5ku
db: batch=77, k=14, 16 40 10 64 58 112

SPT(16)	1167636263919161537	0 20 36 42 50 72 152 176 180 204 284 306 314 320 336 356	-1298602002042
STPT(10)	1167636939401255759	0 2 42 44 60 62 78 80 120 122	-623119907820
SPT(16)	1167637316591369969	0 24 30 78 80 90 104 114 134 144 158 168 170 218 224 248	-245929793610
SPT(18)	1167637397027825029	0 18 22 40 70 108 124 130 154 228 252 258 274 312 342 360 364 382	-165493338550
STPT(10)	1167637427326570181	0 2 36 38 78 80 120 122 156 158	-135194593398
TPT(14)	1167637523389942487	0 2 42 44 54 56 114 116 180 182 210 212 240 242	-39131221092
SPT(18)	1167638172310021799	0 24 32 78 98 102 150 158 192 200 234 242 290 294 314 360 368 392	609788858220
STPT(10)	1167638545825912211	0 2 6 8 18 20 30 32 36 38	983304748632
SPT(16)	1167639053520105301	0 10 18 36 46 70 76 78 100 102 108 132 142 160 168 178	1490998941722
SPT(16)	1167639491564084353	0 6 16 28 70 124 148 174 190 216 240 294 336 348 358 364	1929042920774
STPT(10)	1167639657008384249	0 2 18 20 30 32 42 44 60 62	2094487220670