Prime p₀= 878014056677129039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 70 2 40 2 28 2 4 2 (?)
a_n: 0 2 90 92 108 110 180 182 222 224 252 254 258 260
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: jozef j
db: batch=73, k=14, 88 16 70 40 28 4

SPT(16)	878012828508726551	0 6 68 72 98 132 156 198 200 242 266 300 326 330 392 398	-1228168402488
STPT(12)	878013052504262327	0 2 30 32 42 44 90 92 102 104 132 134	-1004172866712
STPT(10)	878013094031862977	0 2 24 26 42 44 60 62 84 86	-962645266062
SPT(16)	878013251066101511	0 48 50 62 102 116 126 138 140 152 162 176 216 228 230 278	-805611027528
STPT(10)	878013523018442441	0 2 36 38 78 80 120 122 156 158	-533658686598
SPT(16)	878013748458785203	0 66 150 154 166 196 210 258 286 334 348 378 390 394 478 544	-308218343836
STPT(10)	878014079267197469	0 2 42 44 60 62 78 80 120 122	22590068430
SPT(16)	878014114702318973	0 18 26 38 54 80 84 96 98 110 114 140 156 168 176 194	58025189934
SPT(16)	878014503534577817	0 6 50 56 66 74 92 102 104 114 132 140 150 156 200 206	446857448778
SPT(16)	878014507780075909	0 12 22 42 70 118 124 144 148 168 174 222 250 270 280 292	451102946870
STPT(10)	878014554272546417	0 2 24 26 42 44 60 62 84 86	497595417378