Prime p₀= 1017872506120008179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 64 2 22 2 16 2 70 2 64 2 (?)
a_n: 0 2 132 134 198 200 222 224 240 242 312 314 378 380
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: 380
Found by: stoneageman
db: batch=76, k=14, 130 64 22 16 70 64

STPT(12)	1017871622166946397	0 2 42 44 54 56 90 92 102 104 144 146	-883953061782
SPT(16)	1017871762649515483	0 6 10 34 66 76 90 108 166 184 198 208 240 264 268 274	-743470492696
STPT(10)	1017872012918698031	0 2 6 8 48 50 90 92 96 98	-493201310148
STPT(10)	1017872115896996147	0 2 60 62 72 74 84 86 144 146	-390223012032
STPT(10)	1017872214615014567	0 2 30 32 42 44 54 56 84 86	-291504993612
SPT(16)	1017872328361325141	0 12 18 102 108 126 168 180 188 200 242 260 266 350 356 368	-177758683038
STPT(10)	1017872593929307469	0 2 78 80 150 152 222 224 300 302	87809299290
STPT(10)	1017872720998297817	0 2 42 44 72 74 102 104 144 146	214878289638
SPT(16)	1017873109647533941	0 70 102 106 112 120 126 138 190 202 208 216 222 226 258 328	603527525762
STPT(10)	1017873427713548249	0 2 18 20 30 32 42 44 60 62	921593540070
SPT(16)	1017873517674109277	0 12 20 56 62 80 86 96 140 150 156 174 180 216 224 236	1011554101098