Prime p₀= 1278028303835778347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: HenkM
db: batch=77, k=10, 2 28 2 40 2

TPT(14)	1278026734067006927	0 2 42 44 90 92 300 302 384 386 390 392 432 434	-1569768771420
SPT(16)	1278026794682665471	0 12 70 72 132 162 166 168 190 192 196 226 286 288 346 358	-1509153112876
STPT(10)	1278027068753408591	0 2 36 38 78 80 120 122 156 158	-1235082369756
SPT(16)	1278027253723921859	0 48 68 104 144 174 198 254 324 380 404 434 474 510 530 578	-1050111856488
SPT(16)	1278027814403001847	0 16 30 40 42 54 126 132 184 190 262 274 276 286 300 316	-489432776500
STPT(10)	1278027845364238511	0 2 6 8 48 50 90 92 96 98	-458471539836
SPT(16)	1278028570469178013	0 76 106 114 148 168 220 234 250 264 316 336 370 378 408 484	266633399666
SPT(16)	1278028659121106653	0 66 90 126 144 154 186 190 234 238 270 280 298 334 358 424	355285328306
STPT(10)	1278028687368118097	0 2 24 26 42 44 60 62 84 86	383532339750
SPT(16)	1278029026454230471	0 22 40 42 66 72 82 88 120 126 136 142 166 168 186 208	722618452124
SPT(16)	1278029191856796889	0 34 42 72 90 94 124 132 220 228 258 262 280 310 318 352	888021018542