Prime p₀= 1012180253707993301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 10 2 88 2 4 2 130 2 (?)
a_n: 0 2 126 128 138 140 150 152 240 242 246 248 378 380
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, 124 10 10 88 4 130

SPT(16)	1012178497325612009	0 2 18 32 42 60 72 98 144 170 182 200 210 224 240 242	-1756382381292
SPT(16)	1012178842938205889	0 8 14 18 30 78 108 168 200 260 290 338 350 354 360 368	-1410769787412
SPT(16)	1012179681241023397	0 22 70 84 100 114 120 126 160 166 172 186 202 216 264 286	-572466969904
SPT(16)	1012179828678969079	0 28 42 82 90 114 132 142 150 160 178 202 210 250 264 292	-425029024222
TPT(14)	1012180024402576187	0 2 54 56 72 74 114 116 132 134 264 266 342 344	-229305417114
STPT(10)	1012180029951999479	0 2 18 20 30 32 42 44 60 62	-223755993822
STPT(10)	1012180338598373699	0 2 18 20 30 32 42 44 60 62	84890380398
STPT(10)	1012180423539439151	0 2 6 8 48 50 90 92 96 98	169831445850
SPT(18)	1012180776950623711	0 16 36 70 72 90 148 168 172 186 190 210 268 286 288 322 342 358	523242630410
STPT(10)	1012180908617552381	0 2 36 38 138 140 240 242 276 278	654909559080
SPT(16)	1012181168421441217	0 16 34 36 42 70 94 112 114 132 156 184 190 192 210 226	914713447916