Prime p₀= 1271956867248937979 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 88 2 34 2 58 2 28 2 (?)
a_n: 0 2 30 32 42 44 132 134 168 170 228 230 258 260
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: raddoc
db: batch=77, k=14, 28 10 88 34 58 28

SPT(16)	1271956099698292363	0 10 24 36 54 70 90 120 124 154 174 190 208 220 234 244	-767550645616
TPT(14)	1271956298956664117	0 2 54 56 60 62 84 86 144 146 210 212 222 224	-568292273862
STPT(10)	1271956458122539757	0 2 12 14 42 44 72 74 84 86	-409126398222
STPT(10)	1271956643082590831	0 2 36 38 78 80 120 122 156 158	-224166347148
SPT(16)	1271956768174735919	0 20 48 50 92 108 132 174 338 380 404 420 462 464 492 512	-99074202060
SPT(16)	1271956792462474837	0 10 36 90 94 96 112 132 154 174 190 192 196 250 276 286	-74786463142
SPT(16)	1271956889128596311	0 36 68 90 92 102 110 120 158 168 176 186 188 210 242 278	21879658332
SPT(16)	1271956991785008517	0 22 42 72 84 132 160 192 202 234 262 310 322 352 372 394	124536070538
STPT(10)	1271957366141022107	0 2 30 32 42 44 54 56 84 86	498892084128
SPT(16)	1271957579526706649	0 24 84 92 104 108 114 132 170 188 194 198 210 218 278 302	712277768670
SPT(16)	1271957688766862579	0 32 42 48 74 80 84 102 110 128 132 138 164 170 180 212	821517924600