Prime p₀= 463068772489864169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 40 2 124 2 10 2 10 2 (?)
a_n: 0 2 12 14 30 32 72 74 198 200 210 212 222 224
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: 224
Found by: vinn@[CNT]
db: batch=70, k=14, 10 16 40 124 10 10

SPT(16)	463068688612903843	0 10 18 30 60 78 94 120 178 204 220 238 268 280 288 298	-83876960326
TPT(12)	463068703658607281	0 2 6 8 96 98 138 140 198 200 396 398	-68831256888
SPT(14)	463068726517752281	0 26 50 68 72 86 90 128 132 146 150 168 192 218	-45972111888
SPT(14)	463068734763929009	0 42 50 102 104 144 170 174 200 240 242 294 302 344	-37725935160
SPT(14)	463068746021947063	0 6 40 78 118 150 196 270 316 348 388 426 460 466	-26467917106
STPT(10)	463068760068712937	0 2 42 44 72 74 102 104 144 146	-12421151232
SPT(14)	463068776524477069	0 34 48 90 100 150 154 174 178 228 238 280 294 328	4034612900
TPT(12)	463068792565683881	0 2 150 152 210 212 288 290 306 308 426 428	20075819712
SPT(14)	463068801041462321	0 2 12 60 72 80 140 198 258 266 278 326 336 338	28551598152
STPT(10)	463068810637082057	0 2 90 92 102 104 114 116 204 206	38147217888
SPT(14)	463068816377491787	0 12 14 26 86 92 110 126 144 150 210 222 224 236	43887627618