Prime p₀= 976202604554677697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 40 2 34 2 10 2 76 2 (?)
a_n: 0 2 30 32 72 74 114 116 150 152 162 164 240 242
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: 242
Found by: Theadalus
db: batch=76, k=14, 28 40 40 34 10 76

SPT(16)	976201033070658389	0 2 42 102 120 128 150 192 218 260 282 290 308 368 408 410	-1571484019308
SPT(13)	976201110077749651	0 12 18 42 72 78 120 162 168 198 222 228 240	-1494476928046
SPT(16)	976201492437191929	0 58 82 88 108 112 124 138 184 198 210 214 234 240 264 322	-1112117485768
TPT(14)	976201548437958419	0 2 192 194 210 212 222 224 342 344 360 362 390 392	-1056116719278
SPT(16)	976201877541051529	0 34 58 78 88 168 190 198 244 252 274 354 364 384 408 442	-727013626168
SPT(16)	976202315408768423	0 20 48 56 96 104 126 138 176 188 210 218 258 266 294 314	-289145909274
STPT(10)	976202711797031861	0 2 6 8 18 20 30 32 36 38	107242354164
SPT(16)	976202806096804201	0 6 10 76 90 138 160 178 198 216 238 286 300 366 370 376	201542126504
STPT(10)	976203148331870087	0 2 30 32 72 74 114 116 144 146	543777192390
STPT(10)	976203717786030791	0 2 30 32 78 80 126 128 156 158	1113231353094
STPT(10)	976203895688742827	0 2 30 32 42 44 54 56 84 86	1291134065130