Prime p₀= 2437302274788047897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2437301191720347353	0 24 30 74 98 156 168 240 284 356 368 426 450 494 500 524	-1083067700544
SPT(16)	2437301494633352341	0 10 52 78 102 106 130 142 156 168 192 196 220 246 288 298	-780154695556
STPT(10)	2437301592908160929	0 2 18 20 30 32 42 44 60 62	-681879886968
STPT(10)	2437301848947137867	0 2 30 32 60 62 90 92 120 122	-425840910030
TPT(14)	2437301914556333969	0 2 42 44 48 50 132 134 138 140 222 224 258 260	-360231713928
TPT(14)	2437302131376512831	0 2 30 32 60 62 96 98 168 170 210 212 270 272	-143411535066
SPT(16)	2437302299835577429	0 30 40 82 112 114 120 124 150 154 160 162 192 234 244 274	25047529532
STPT(10)	2437302346869670529	0 2 18 20 30 32 42 44 60 62	72081622632
SPT(16)	2437302929218341551	0 26 48 72 146 152 182 210 278 306 336 342 416 440 462 488	654430293654
SPT(16)	2437303288579146973	0 24 30 40 118 130 150 154 240 244 264 276 354 364 370 394	1013791099076
SPT(16)	2437303529356021583	0 8 90 98 116 140 168 206 228 266 294 318 336 344 426 434	1254567973686