Prime p₀= 1078186391062036301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 118 2 52 2 28 2 34 2 28 2 (?)
a_n: 0 2 6 8 126 128 180 182 210 212 246 248 276 278
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: 278
Found by: Theadalus
db: batch=76, k=14, 4 118 52 28 34 28

SPT(16)	1078184764291029211	0 18 40 48 60 66 130 138 208 216 280 286 298 306 328 346	-1626771007090
STPT(10)	1078185282208160627	0 2 54 56 72 74 90 92 144 146	-1108853875674
STPT(10)	1078185876825327041	0 2 36 38 78 80 120 122 156 158	-514236709260
STPT(10)	1078186000567454411	0 2 6 8 48 50 90 92 96 98	-390494581890
STPT(10)	1078186269559817681	0 2 6 8 48 50 90 92 96 98	-121502218620
SPT(16)	1078186325956866121	0 46 66 100 108 132 198 256 342 400 466 490 498 532 552 598	-65105170180
SPT(16)	1078187008715894281	0 12 40 70 78 88 96 112 156 172 180 190 198 228 256 268	617653857980
STPT(10)	1078187061658781741	0 2 6 8 18 20 30 32 36 38	670596745440
STPT(10)	1078187422879449317	0 2 30 32 42 44 54 56 84 86	1031817413016
SPT(16)	1078187459870257379	0 14 24 38 44 54 152 168 194 210 308 318 324 338 348 362	1068808221078
SPT(16)	1078187495896279949	0 8 12 24 42 74 78 104 138 164 168 200 218 230 234 242	1104834243648