Prime p₀= 2497273386845313677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2497271908390527209	0 12 42 90 144 168 182 194 288 300 314 338 392 440 470 482	-1478454786468
SPT(16)	2497272072240173611	0 6 10 60 66 70 96 118 138 160 186 190 196 246 250 256	-1314605140066
SPT(16)	2497272234508767481	0 6 12 22 30 82 142 216 232 306 366 418 426 436 442 448	-1152336546196
SPT(16)	2497272935748729049	0 28 42 58 90 142 184 198 214 228 270 322 354 370 384 412	-451096584628
SPT(16)	2497273105229569529	0 44 98 120 122 188 198 210 332 344 354 420 422 444 498 542	-281615744148
STPT(10)	2497273348625895527	0 2 30 32 120 122 210 212 240 242	-38219418150
SPT(16)	2497273460017180639	0 42 64 84 124 130 190 204 208 222 282 288 328 348 370 412	73171866962
SPT(16)	2497274077630967387	0 12 146 156 174 210 260 282 284 306 356 392 410 420 554 566	690785653710
STPT(10)	2497274658264476897	0 2 42 44 72 74 102 104 144 146	1271419163220
STPT(10)	2497274818045253369	0 2 12 14 30 32 48 50 60 62	1431199939692
SPT(16)	2497274858625457489	0 18 60 94 118 132 144 150 172 178 190 204 228 262 304 322	1471780143812