Prime p₀= 2050713071937489689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 52 2 34 2 28 2 112 2 (?)
a_n: 0 2 72 74 78 80 132 134 168 170 198 200 312 314
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: matsu_pl
db: batch=80, k=14, 70 4 52 34 28 112

STPT(10)	2050711554228371777	0 2 12 14 42 44 72 74 84 86	-1517709117912
SPT(16)	2050711720396499911	0 6 22 60 72 106 126 130 132 136 156 190 202 240 256 262	-1351540989778
SPT(16)	2050712563441153919	0 24 30 42 74 102 114 132 140 158 170 198 230 242 248 272	-508496335770
SPT(16)	2050712847352010497	0 24 34 40 42 52 64 90 166 192 204 214 216 222 232 256	-224585479192
SPT(16)	2050712876301170227	0 4 6 54 112 130 144 150 196 202 216 234 292 340 342 346	-195636319462
STPT(10)	2050712930996452337	0 2 24 26 42 44 60 62 84 86	-140941037352
SPT(16)	2050713323655815369	0 14 38 84 90 108 158 174 194 210 260 278 284 330 354 368	251718325680
SPT(16)	2050713691165470589	0 42 88 108 118 124 150 154 198 202 228 234 244 264 310 352	619227980900
STPT(10)	2050714009339545461	0 2 6 8 18 20 30 32 36 38	937402055772
SPT(16)	2050714871635426727	0 20 24 42 44 56 80 84 92 96 120 132 134 152 156 176	1799697937038
TPT(14)	2050714897411488419	0 2 18 20 60 62 102 104 138 140 150 152 192 194	1825473998730