Prime p₀= 1311923603765753651 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: Theadalus
db: batch=77, k=10, 2 28 2 46 2

SPT(16)	1311922405964315063	0 50 120 150 156 168 224 228 266 270 326 338 344 374 444 494	-1197801438588
STPT(10)	1311922868380691261	0 2 36 38 78 80 120 122 156 158	-735385062390
SPT(16)	1311923091053829703	0 60 64 70 108 124 130 150 184 204 210 226 264 270 274 334	-512711923948
SPT(16)	1311923127780787213	0 6 18 58 60 76 84 90 124 130 138 154 156 196 208 214	-475984966438
STPT(10)	1311923344970147807	0 2 42 44 72 74 102 104 144 146	-258795605844
TPT(14)	1311923525094456851	0 2 78 80 90 92 108 110 120 122 126 128 300 302	-78671296800
STPT(10)	1311923633247431219	0 2 72 74 120 122 168 170 240 242	29481677568
SPT(16)	1311923635321632677	0 42 44 56 66 80 84 92 144 152 156 170 180 192 194 236	31555879026
STPT(10)	1311923732081981267	0 2 12 14 42 44 72 74 84 86	128316227616
SPT(16)	1311923763087595787	0 56 84 90 96 114 126 134 216 224 236 254 260 266 294 350	159321842136
SPT(16)	1311923772505468909	0 10 42 48 100 112 160 204 238 282 330 342 394 400 432 442	168739715258